On the Socles of Strongly Inert Subgroups of Abelian $ p $-Groups

Abstract We introduce the class of strongly inert socle-regular abelian $ p $-groups and establish the critical fact that all reduced abelian $ p $-groups are such groups in contrast to the classes of fully inert socle-regular and characteristically inert socle-regular abelian $ p $-groups examined...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Chekhlov, A. R. [verfasserIn] Danchev, P. V.

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	strongly inert subgroups strongly inert socle-regular groups weak perspective of strongly inert socle-regular groups

Anmerkung:	© Pleiades Publishing, Ltd. 2023

Übergeordnetes Werk:	Enthalten in: Siberian mathematical journal - New York, NY [u.a.] : Consultants Bureau, 1966, 64(2023), 2 vom: März, Seite 459-468
Übergeordnetes Werk:	volume:64 ; year:2023 ; number:2 ; month:03 ; pages:459-468

Links:	Volltext

DOI / URN:	10.1134/S0037446623020179

Katalog-ID:	SPR049820745

Internformat


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245	1	0	\|a On the Socles of Strongly Inert Subgroups of Abelian $ p $-Groups
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520			\|a Abstract We introduce the class of strongly inert socle-regular abelian $ p $-groups and establish the critical fact that all reduced abelian $ p $-groups are such groups in contrast to the classes of fully inert socle-regular and characteristically inert socle-regular abelian $ p $-groups examined by Chekhlov–Danchev–Goldsmith in 2021. Moreover, we also generalize some results on the strongly invariant/inert subgroups defined by Călugăreanu in 2015 and, in addition, we partly answer a problem due to Breaz–Călugăreanu posed in 2017.
650		4	\|a strongly inert subgroups \|7 (dpeaa)DE-He213
650		4	\|a strongly inert socle-regular groups \|7 (dpeaa)DE-He213
650		4	\|a weak perspective of strongly inert socle-regular groups \|7 (dpeaa)DE-He213
700	1		\|a Danchev, P. V. \|4 aut
773	0	8	\|i Enthalten in \|t Siberian mathematical journal \|d New York, NY [u.a.] : Consultants Bureau, 1966 \|g 64(2023), 2 vom: März, Seite 459-468 \|w (DE-627)325572348 \|w (DE-600)2037555-4 \|x 1573-9260 \|7 nnns
773	1	8	\|g volume:64 \|g year:2023 \|g number:2 \|g month:03 \|g pages:459-468
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912			\|a GBV_ILN_22
912			\|a GBV_ILN_23
912			\|a GBV_ILN_24
912			\|a GBV_ILN_31
912			\|a GBV_ILN_32
912			\|a GBV_ILN_39
912			\|a GBV_ILN_40
912			\|a GBV_ILN_60
912			\|a GBV_ILN_62
912			\|a GBV_ILN_63
912			\|a GBV_ILN_69
912			\|a GBV_ILN_70
912			\|a GBV_ILN_73
912			\|a GBV_ILN_74
912			\|a GBV_ILN_90
912			\|a GBV_ILN_95
912			\|a GBV_ILN_100
912			\|a GBV_ILN_105
912			\|a GBV_ILN_110
912			\|a GBV_ILN_120
912			\|a GBV_ILN_138
912			\|a GBV_ILN_150
912			\|a GBV_ILN_151
912			\|a GBV_ILN_152
912			\|a GBV_ILN_161
912			\|a GBV_ILN_170
912			\|a GBV_ILN_171
912			\|a GBV_ILN_187
912			\|a GBV_ILN_206
912			\|a GBV_ILN_213
912			\|a GBV_ILN_224
912			\|a GBV_ILN_230
912			\|a GBV_ILN_250
912			\|a GBV_ILN_281
912			\|a GBV_ILN_285
912			\|a GBV_ILN_293
912			\|a GBV_ILN_370
912			\|a GBV_ILN_602
912			\|a GBV_ILN_636
912			\|a GBV_ILN_702
912			\|a GBV_ILN_2001
912			\|a GBV_ILN_2003
912			\|a GBV_ILN_2004
912			\|a GBV_ILN_2005
912			\|a GBV_ILN_2006
912			\|a GBV_ILN_2007
912			\|a GBV_ILN_2008
912			\|a GBV_ILN_2009
912			\|a GBV_ILN_2010
912			\|a GBV_ILN_2011
912			\|a GBV_ILN_2014
912			\|a GBV_ILN_2015
912			\|a GBV_ILN_2020
912			\|a GBV_ILN_2021
912			\|a GBV_ILN_2025
912			\|a GBV_ILN_2026
912			\|a GBV_ILN_2027
912			\|a GBV_ILN_2031
912			\|a GBV_ILN_2034
912			\|a GBV_ILN_2037
912			\|a GBV_ILN_2038
912			\|a GBV_ILN_2039
912			\|a GBV_ILN_2044
912			\|a GBV_ILN_2048
912			\|a GBV_ILN_2049
912			\|a GBV_ILN_2050
912			\|a GBV_ILN_2055
912			\|a GBV_ILN_2056
912			\|a GBV_ILN_2057
912			\|a GBV_ILN_2059
912			\|a GBV_ILN_2061
912			\|a GBV_ILN_2064
912			\|a GBV_ILN_2065
912			\|a GBV_ILN_2068
912			\|a GBV_ILN_2088
912			\|a GBV_ILN_2093
912			\|a GBV_ILN_2106
912			\|a GBV_ILN_2107
912			\|a GBV_ILN_2108
912			\|a GBV_ILN_2110
912			\|a GBV_ILN_2111
912			\|a GBV_ILN_2112
912			\|a GBV_ILN_2113
912			\|a GBV_ILN_2118
912			\|a GBV_ILN_2122
912			\|a GBV_ILN_2129
912			\|a GBV_ILN_2143
912			\|a GBV_ILN_2144
912			\|a GBV_ILN_2147
912			\|a GBV_ILN_2148
912			\|a GBV_ILN_2152
912			\|a GBV_ILN_2153
912			\|a GBV_ILN_2188
912			\|a GBV_ILN_2190
912			\|a GBV_ILN_2232
912			\|a GBV_ILN_2336
912			\|a GBV_ILN_2446
912			\|a GBV_ILN_2470
912			\|a GBV_ILN_2472
912			\|a GBV_ILN_2507
912			\|a GBV_ILN_2522
912			\|a GBV_ILN_2548
912			\|a GBV_ILN_4035
912			\|a GBV_ILN_4037
912			\|a GBV_ILN_4046
912			\|a GBV_ILN_4112
912			\|a GBV_ILN_4125
912			\|a GBV_ILN_4126
912			\|a GBV_ILN_4242
912			\|a GBV_ILN_4246
912			\|a GBV_ILN_4249
912			\|a GBV_ILN_4251
912			\|a GBV_ILN_4305
912			\|a GBV_ILN_4306
912			\|a GBV_ILN_4307
912			\|a GBV_ILN_4313
912			\|a GBV_ILN_4322
912			\|a GBV_ILN_4323
912			\|a GBV_ILN_4324
912			\|a GBV_ILN_4325
912			\|a GBV_ILN_4326
912			\|a GBV_ILN_4328
912			\|a GBV_ILN_4333
912			\|a GBV_ILN_4334
912			\|a GBV_ILN_4335
912			\|a GBV_ILN_4336
912			\|a GBV_ILN_4338
912			\|a GBV_ILN_4393
912			\|a GBV_ILN_4700
951			\|a AR
952			\|d 64 \|j 2023 \|e 2 \|c 03 \|h 459-468

Indexfelder

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matchkey_str	article:15739260:2023----::nhsceosrnlietugopo
hierarchy_sort_str	2023
publishDate	2023
allfields	10.1134/S0037446623020179 doi (DE-627)SPR049820745 (SPR)S0037446623020179-e DE-627 ger DE-627 rakwb eng Chekhlov, A. R. verfasserin aut On the Socles of Strongly Inert Subgroups of Abelian $ p $-Groups 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2023 Abstract We introduce the class of strongly inert socle-regular abelian $ p $-groups and establish the critical fact that all reduced abelian $ p $-groups are such groups in contrast to the classes of fully inert socle-regular and characteristically inert socle-regular abelian $ p $-groups examined by Chekhlov–Danchev–Goldsmith in 2021. Moreover, we also generalize some results on the strongly invariant/inert subgroups defined by Călugăreanu in 2015 and, in addition, we partly answer a problem due to Breaz–Călugăreanu posed in 2017. strongly inert subgroups (dpeaa)DE-He213 strongly inert socle-regular groups (dpeaa)DE-He213 weak perspective of strongly inert socle-regular groups (dpeaa)DE-He213 Danchev, P. V. aut Enthalten in Siberian mathematical journal New York, NY [u.a.] : Consultants Bureau, 1966 64(2023), 2 vom: März, Seite 459-468 (DE-627)325572348 (DE-600)2037555-4 1573-9260 nnns volume:64 year:2023 number:2 month:03 pages:459-468 https://dx.doi.org/10.1134/S0037446623020179 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 64 2023 2 03 459-468
spelling	10.1134/S0037446623020179 doi (DE-627)SPR049820745 (SPR)S0037446623020179-e DE-627 ger DE-627 rakwb eng Chekhlov, A. R. verfasserin aut On the Socles of Strongly Inert Subgroups of Abelian $ p $-Groups 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2023 Abstract We introduce the class of strongly inert socle-regular abelian $ p $-groups and establish the critical fact that all reduced abelian $ p $-groups are such groups in contrast to the classes of fully inert socle-regular and characteristically inert socle-regular abelian $ p $-groups examined by Chekhlov–Danchev–Goldsmith in 2021. Moreover, we also generalize some results on the strongly invariant/inert subgroups defined by Călugăreanu in 2015 and, in addition, we partly answer a problem due to Breaz–Călugăreanu posed in 2017. strongly inert subgroups (dpeaa)DE-He213 strongly inert socle-regular groups (dpeaa)DE-He213 weak perspective of strongly inert socle-regular groups (dpeaa)DE-He213 Danchev, P. V. aut Enthalten in Siberian mathematical journal New York, NY [u.a.] : Consultants Bureau, 1966 64(2023), 2 vom: März, Seite 459-468 (DE-627)325572348 (DE-600)2037555-4 1573-9260 nnns volume:64 year:2023 number:2 month:03 pages:459-468 https://dx.doi.org/10.1134/S0037446623020179 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 64 2023 2 03 459-468
allfields_unstemmed	10.1134/S0037446623020179 doi (DE-627)SPR049820745 (SPR)S0037446623020179-e DE-627 ger DE-627 rakwb eng Chekhlov, A. R. verfasserin aut On the Socles of Strongly Inert Subgroups of Abelian $ p $-Groups 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2023 Abstract We introduce the class of strongly inert socle-regular abelian $ p $-groups and establish the critical fact that all reduced abelian $ p $-groups are such groups in contrast to the classes of fully inert socle-regular and characteristically inert socle-regular abelian $ p $-groups examined by Chekhlov–Danchev–Goldsmith in 2021. Moreover, we also generalize some results on the strongly invariant/inert subgroups defined by Călugăreanu in 2015 and, in addition, we partly answer a problem due to Breaz–Călugăreanu posed in 2017. strongly inert subgroups (dpeaa)DE-He213 strongly inert socle-regular groups (dpeaa)DE-He213 weak perspective of strongly inert socle-regular groups (dpeaa)DE-He213 Danchev, P. V. aut Enthalten in Siberian mathematical journal New York, NY [u.a.] : Consultants Bureau, 1966 64(2023), 2 vom: März, Seite 459-468 (DE-627)325572348 (DE-600)2037555-4 1573-9260 nnns volume:64 year:2023 number:2 month:03 pages:459-468 https://dx.doi.org/10.1134/S0037446623020179 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 64 2023 2 03 459-468
allfieldsGer	10.1134/S0037446623020179 doi (DE-627)SPR049820745 (SPR)S0037446623020179-e DE-627 ger DE-627 rakwb eng Chekhlov, A. R. verfasserin aut On the Socles of Strongly Inert Subgroups of Abelian $ p $-Groups 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2023 Abstract We introduce the class of strongly inert socle-regular abelian $ p $-groups and establish the critical fact that all reduced abelian $ p $-groups are such groups in contrast to the classes of fully inert socle-regular and characteristically inert socle-regular abelian $ p $-groups examined by Chekhlov–Danchev–Goldsmith in 2021. Moreover, we also generalize some results on the strongly invariant/inert subgroups defined by Călugăreanu in 2015 and, in addition, we partly answer a problem due to Breaz–Călugăreanu posed in 2017. strongly inert subgroups (dpeaa)DE-He213 strongly inert socle-regular groups (dpeaa)DE-He213 weak perspective of strongly inert socle-regular groups (dpeaa)DE-He213 Danchev, P. V. aut Enthalten in Siberian mathematical journal New York, NY [u.a.] : Consultants Bureau, 1966 64(2023), 2 vom: März, Seite 459-468 (DE-627)325572348 (DE-600)2037555-4 1573-9260 nnns volume:64 year:2023 number:2 month:03 pages:459-468 https://dx.doi.org/10.1134/S0037446623020179 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 64 2023 2 03 459-468
allfieldsSound	10.1134/S0037446623020179 doi (DE-627)SPR049820745 (SPR)S0037446623020179-e DE-627 ger DE-627 rakwb eng Chekhlov, A. R. verfasserin aut On the Socles of Strongly Inert Subgroups of Abelian $ p $-Groups 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Pleiades Publishing, Ltd. 2023 Abstract We introduce the class of strongly inert socle-regular abelian $ p $-groups and establish the critical fact that all reduced abelian $ p $-groups are such groups in contrast to the classes of fully inert socle-regular and characteristically inert socle-regular abelian $ p $-groups examined by Chekhlov–Danchev–Goldsmith in 2021. Moreover, we also generalize some results on the strongly invariant/inert subgroups defined by Călugăreanu in 2015 and, in addition, we partly answer a problem due to Breaz–Călugăreanu posed in 2017. strongly inert subgroups (dpeaa)DE-He213 strongly inert socle-regular groups (dpeaa)DE-He213 weak perspective of strongly inert socle-regular groups (dpeaa)DE-He213 Danchev, P. V. aut Enthalten in Siberian mathematical journal New York, NY [u.a.] : Consultants Bureau, 1966 64(2023), 2 vom: März, Seite 459-468 (DE-627)325572348 (DE-600)2037555-4 1573-9260 nnns volume:64 year:2023 number:2 month:03 pages:459-468 https://dx.doi.org/10.1134/S0037446623020179 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 64 2023 2 03 459-468
language	English
source	Enthalten in Siberian mathematical journal 64(2023), 2 vom: März, Seite 459-468 volume:64 year:2023 number:2 month:03 pages:459-468
sourceStr	Enthalten in Siberian mathematical journal 64(2023), 2 vom: März, Seite 459-468 volume:64 year:2023 number:2 month:03 pages:459-468
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	strongly inert subgroups strongly inert socle-regular groups weak perspective of strongly inert socle-regular groups
isfreeaccess_bool	false
container_title	Siberian mathematical journal
authorswithroles_txt_mv	Chekhlov, A. R. @@aut@@ Danchev, P. V. @@aut@@
publishDateDaySort_date	2023-03-01T00:00:00Z
hierarchy_top_id	325572348
id	SPR049820745
language_de	englisch
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author	Chekhlov, A. R.
spellingShingle	Chekhlov, A. R. misc strongly inert subgroups misc strongly inert socle-regular groups misc weak perspective of strongly inert socle-regular groups On the Socles of Strongly Inert Subgroups of Abelian $ p $-Groups
authorStr	Chekhlov, A. R.
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topic_title	On the Socles of Strongly Inert Subgroups of Abelian $ p $-Groups strongly inert subgroups (dpeaa)DE-He213 strongly inert socle-regular groups (dpeaa)DE-He213 weak perspective of strongly inert socle-regular groups (dpeaa)DE-He213
topic	misc strongly inert subgroups misc strongly inert socle-regular groups misc weak perspective of strongly inert socle-regular groups
topic_unstemmed	misc strongly inert subgroups misc strongly inert socle-regular groups misc weak perspective of strongly inert socle-regular groups
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title	On the Socles of Strongly Inert Subgroups of Abelian $ p $-Groups
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title_full	On the Socles of Strongly Inert Subgroups of Abelian $ p $-Groups
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author_browse	Chekhlov, A. R. Danchev, P. V.
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author-letter	Chekhlov, A. R.
doi_str_mv	10.1134/S0037446623020179
title_sort	on the socles of strongly inert subgroups of abelian $ p $-groups
title_auth	On the Socles of Strongly Inert Subgroups of Abelian $ p $-Groups
abstract	Abstract We introduce the class of strongly inert socle-regular abelian $ p $-groups and establish the critical fact that all reduced abelian $ p $-groups are such groups in contrast to the classes of fully inert socle-regular and characteristically inert socle-regular abelian $ p $-groups examined by Chekhlov–Danchev–Goldsmith in 2021. Moreover, we also generalize some results on the strongly invariant/inert subgroups defined by Călugăreanu in 2015 and, in addition, we partly answer a problem due to Breaz–Călugăreanu posed in 2017. © Pleiades Publishing, Ltd. 2023
abstractGer	Abstract We introduce the class of strongly inert socle-regular abelian $ p $-groups and establish the critical fact that all reduced abelian $ p $-groups are such groups in contrast to the classes of fully inert socle-regular and characteristically inert socle-regular abelian $ p $-groups examined by Chekhlov–Danchev–Goldsmith in 2021. Moreover, we also generalize some results on the strongly invariant/inert subgroups defined by Călugăreanu in 2015 and, in addition, we partly answer a problem due to Breaz–Călugăreanu posed in 2017. © Pleiades Publishing, Ltd. 2023
abstract_unstemmed	Abstract We introduce the class of strongly inert socle-regular abelian $ p $-groups and establish the critical fact that all reduced abelian $ p $-groups are such groups in contrast to the classes of fully inert socle-regular and characteristically inert socle-regular abelian $ p $-groups examined by Chekhlov–Danchev–Goldsmith in 2021. Moreover, we also generalize some results on the strongly invariant/inert subgroups defined by Călugăreanu in 2015 and, in addition, we partly answer a problem due to Breaz–Călugăreanu posed in 2017. © Pleiades Publishing, Ltd. 2023
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title_short	On the Socles of Strongly Inert Subgroups of Abelian $ p $-Groups
url	https://dx.doi.org/10.1134/S0037446623020179
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author2	Danchev, P. V.
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doi_str	10.1134/S0037446623020179
up_date	2024-07-04T02:24:52.846Z
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R.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">On the Socles of Strongly Inert Subgroups of Abelian $ p $-Groups</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2023</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© Pleiades Publishing, Ltd. 2023</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We introduce the class of strongly inert socle-regular abelian $ p $-groups and establish the critical fact that all reduced abelian $ p $-groups are such groups in contrast to the classes of fully inert socle-regular and characteristically inert socle-regular abelian $ p $-groups examined by Chekhlov–Danchev–Goldsmith in 2021. 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On the Socles of Strongly Inert Subgroups of Abelian $ p $-Groups

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