Local and 2-local automorphisms of some solvable Leibniz algebras

In this paper we prove that any local automorphism on the solvable Leibniz algebras with null-filiform and naturally graded non-Lie filiform nilradicals, whose dimension of complementary space is maximal is an automorphism. Furthermore, the same problem concerning 2-local automorphisms of such algeb...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Arzikulov, F.N. [verfasserIn] Karimjanov, I.A. [verfasserIn] Umrzaqov, S.M. [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	Leibniz algebras Solvable algebras Nilradical Automorphism Local automorphism 2-local automorphism

Übergeordnetes Werk:	Enthalten in: Journal of geometry and physics - Amsterdam [u.a.] : North-Holland, 1984, 178
Übergeordnetes Werk:	volume:178

DOI / URN:	10.1016/j.geomphys.2022.104573

Katalog-ID:	ELV00803690X

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245	1	0	\|a Local and 2-local automorphisms of some solvable Leibniz algebras
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520			\|a In this paper we prove that any local automorphism on the solvable Leibniz algebras with null-filiform and naturally graded non-Lie filiform nilradicals, whose dimension of complementary space is maximal is an automorphism. Furthermore, the same problem concerning 2-local automorphisms of such algebras is investigated and we obtain the analogously results for 2-local automorphisms.
650		4	\|a Leibniz algebras
650		4	\|a Solvable algebras
650		4	\|a Nilradical
650		4	\|a Automorphism
650		4	\|a Local automorphism
650		4	\|a 2-local automorphism
700	1		\|a Karimjanov, I.A. \|e verfasserin \|0 (orcid)0000-0002-9343-2579 \|4 aut
700	1		\|a Umrzaqov, S.M. \|e verfasserin \|4 aut
773	0	8	\|i Enthalten in \|t Journal of geometry and physics \|d Amsterdam [u.a.] : North-Holland, 1984 \|g 178 \|h Online-Ressource \|w (DE-627)26601450X \|w (DE-600)1466516-5 \|w (DE-576)074959697 \|7 nnns
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936	b	k	\|a 31.50 \|j Geometrie: Allgemeines
936	b	k	\|a 33.06 \|j Mathematische Methoden der Physik
951			\|a AR
952			\|d 178

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author_variant	f a fa i k ik s u su
matchkey_str	arzikulovfnkarimjanoviaumrzaqovsm:2022----:oaadlcluoopimosmslall
hierarchy_sort_str	2022
bklnumber	31.50 33.06
publishDate	2022
allfields	10.1016/j.geomphys.2022.104573 doi (DE-627)ELV00803690X (ELSEVIER)S0393-0440(22)00123-1 DE-627 ger DE-627 rda eng 510 DE-600 31.50 bkl 33.06 bkl Arzikulov, F.N. verfasserin aut Local and 2-local automorphisms of some solvable Leibniz algebras 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper we prove that any local automorphism on the solvable Leibniz algebras with null-filiform and naturally graded non-Lie filiform nilradicals, whose dimension of complementary space is maximal is an automorphism. Furthermore, the same problem concerning 2-local automorphisms of such algebras is investigated and we obtain the analogously results for 2-local automorphisms. Leibniz algebras Solvable algebras Nilradical Automorphism Local automorphism 2-local automorphism Karimjanov, I.A. verfasserin (orcid)0000-0002-9343-2579 aut Umrzaqov, S.M. verfasserin aut Enthalten in Journal of geometry and physics Amsterdam [u.a.] : North-Holland, 1984 178 Online-Ressource (DE-627)26601450X (DE-600)1466516-5 (DE-576)074959697 nnns volume:178 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 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_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2106 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_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 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_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_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 31.50 Geometrie: Allgemeines 33.06 Mathematische Methoden der Physik AR 178
spelling	10.1016/j.geomphys.2022.104573 doi (DE-627)ELV00803690X (ELSEVIER)S0393-0440(22)00123-1 DE-627 ger DE-627 rda eng 510 DE-600 31.50 bkl 33.06 bkl Arzikulov, F.N. verfasserin aut Local and 2-local automorphisms of some solvable Leibniz algebras 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper we prove that any local automorphism on the solvable Leibniz algebras with null-filiform and naturally graded non-Lie filiform nilradicals, whose dimension of complementary space is maximal is an automorphism. Furthermore, the same problem concerning 2-local automorphisms of such algebras is investigated and we obtain the analogously results for 2-local automorphisms. Leibniz algebras Solvable algebras Nilradical Automorphism Local automorphism 2-local automorphism Karimjanov, I.A. verfasserin (orcid)0000-0002-9343-2579 aut Umrzaqov, S.M. verfasserin aut Enthalten in Journal of geometry and physics Amsterdam [u.a.] : North-Holland, 1984 178 Online-Ressource (DE-627)26601450X (DE-600)1466516-5 (DE-576)074959697 nnns volume:178 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 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_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2106 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_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 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_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_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 31.50 Geometrie: Allgemeines 33.06 Mathematische Methoden der Physik AR 178
allfields_unstemmed	10.1016/j.geomphys.2022.104573 doi (DE-627)ELV00803690X (ELSEVIER)S0393-0440(22)00123-1 DE-627 ger DE-627 rda eng 510 DE-600 31.50 bkl 33.06 bkl Arzikulov, F.N. verfasserin aut Local and 2-local automorphisms of some solvable Leibniz algebras 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper we prove that any local automorphism on the solvable Leibniz algebras with null-filiform and naturally graded non-Lie filiform nilradicals, whose dimension of complementary space is maximal is an automorphism. Furthermore, the same problem concerning 2-local automorphisms of such algebras is investigated and we obtain the analogously results for 2-local automorphisms. Leibniz algebras Solvable algebras Nilradical Automorphism Local automorphism 2-local automorphism Karimjanov, I.A. verfasserin (orcid)0000-0002-9343-2579 aut Umrzaqov, S.M. verfasserin aut Enthalten in Journal of geometry and physics Amsterdam [u.a.] : North-Holland, 1984 178 Online-Ressource (DE-627)26601450X (DE-600)1466516-5 (DE-576)074959697 nnns volume:178 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 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_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2106 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_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 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_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_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 31.50 Geometrie: Allgemeines 33.06 Mathematische Methoden der Physik AR 178
allfieldsGer	10.1016/j.geomphys.2022.104573 doi (DE-627)ELV00803690X (ELSEVIER)S0393-0440(22)00123-1 DE-627 ger DE-627 rda eng 510 DE-600 31.50 bkl 33.06 bkl Arzikulov, F.N. verfasserin aut Local and 2-local automorphisms of some solvable Leibniz algebras 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper we prove that any local automorphism on the solvable Leibniz algebras with null-filiform and naturally graded non-Lie filiform nilradicals, whose dimension of complementary space is maximal is an automorphism. Furthermore, the same problem concerning 2-local automorphisms of such algebras is investigated and we obtain the analogously results for 2-local automorphisms. Leibniz algebras Solvable algebras Nilradical Automorphism Local automorphism 2-local automorphism Karimjanov, I.A. verfasserin (orcid)0000-0002-9343-2579 aut Umrzaqov, S.M. verfasserin aut Enthalten in Journal of geometry and physics Amsterdam [u.a.] : North-Holland, 1984 178 Online-Ressource (DE-627)26601450X (DE-600)1466516-5 (DE-576)074959697 nnns volume:178 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 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_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2106 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_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 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_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_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 31.50 Geometrie: Allgemeines 33.06 Mathematische Methoden der Physik AR 178
allfieldsSound	10.1016/j.geomphys.2022.104573 doi (DE-627)ELV00803690X (ELSEVIER)S0393-0440(22)00123-1 DE-627 ger DE-627 rda eng 510 DE-600 31.50 bkl 33.06 bkl Arzikulov, F.N. verfasserin aut Local and 2-local automorphisms of some solvable Leibniz algebras 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this paper we prove that any local automorphism on the solvable Leibniz algebras with null-filiform and naturally graded non-Lie filiform nilradicals, whose dimension of complementary space is maximal is an automorphism. Furthermore, the same problem concerning 2-local automorphisms of such algebras is investigated and we obtain the analogously results for 2-local automorphisms. Leibniz algebras Solvable algebras Nilradical Automorphism Local automorphism 2-local automorphism Karimjanov, I.A. verfasserin (orcid)0000-0002-9343-2579 aut Umrzaqov, S.M. verfasserin aut Enthalten in Journal of geometry and physics Amsterdam [u.a.] : North-Holland, 1984 178 Online-Ressource (DE-627)26601450X (DE-600)1466516-5 (DE-576)074959697 nnns volume:178 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-MAT GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 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_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 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_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2106 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_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2470 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_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_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 31.50 Geometrie: Allgemeines 33.06 Mathematische Methoden der Physik AR 178
language	English
source	Enthalten in Journal of geometry and physics 178 volume:178
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author	Arzikulov, F.N.
spellingShingle	Arzikulov, F.N. ddc 510 bkl 31.50 bkl 33.06 misc Leibniz algebras misc Solvable algebras misc Nilradical misc Automorphism misc Local automorphism misc 2-local automorphism Local and 2-local automorphisms of some solvable Leibniz algebras
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topic_title	510 DE-600 31.50 bkl 33.06 bkl Local and 2-local automorphisms of some solvable Leibniz algebras Leibniz algebras Solvable algebras Nilradical Automorphism Local automorphism 2-local automorphism
topic	ddc 510 bkl 31.50 bkl 33.06 misc Leibniz algebras misc Solvable algebras misc Nilradical misc Automorphism misc Local automorphism misc 2-local automorphism
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title	Local and 2-local automorphisms of some solvable Leibniz algebras
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title_full	Local and 2-local automorphisms of some solvable Leibniz algebras
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title_sort	local and 2-local automorphisms of some solvable leibniz algebras
title_auth	Local and 2-local automorphisms of some solvable Leibniz algebras
abstract	In this paper we prove that any local automorphism on the solvable Leibniz algebras with null-filiform and naturally graded non-Lie filiform nilradicals, whose dimension of complementary space is maximal is an automorphism. Furthermore, the same problem concerning 2-local automorphisms of such algebras is investigated and we obtain the analogously results for 2-local automorphisms.
abstractGer	In this paper we prove that any local automorphism on the solvable Leibniz algebras with null-filiform and naturally graded non-Lie filiform nilradicals, whose dimension of complementary space is maximal is an automorphism. Furthermore, the same problem concerning 2-local automorphisms of such algebras is investigated and we obtain the analogously results for 2-local automorphisms.
abstract_unstemmed	In this paper we prove that any local automorphism on the solvable Leibniz algebras with null-filiform and naturally graded non-Lie filiform nilradicals, whose dimension of complementary space is maximal is an automorphism. Furthermore, the same problem concerning 2-local automorphisms of such algebras is investigated and we obtain the analogously results for 2-local automorphisms.
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title_short	Local and 2-local automorphisms of some solvable Leibniz algebras
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up_date	2024-07-06T18:19:18.813Z
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fullrecord_marcxml	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">ELV00803690X</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230524160651.0</controlfield><controlfield tag="007">cr uuu---uuuuu</controlfield><controlfield tag="008">230507s2022 xx \|\|\|\|\|o 00\| \|\|eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1016/j.geomphys.2022.104573</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)ELV00803690X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ELSEVIER)S0393-0440(22)00123-1</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">DE-600</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">31.50</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">33.06</subfield><subfield code="2">bkl</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Arzikulov, F.N.</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Local and 2-local automorphisms of some solvable Leibniz algebras</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2022</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">nicht spezifiziert</subfield><subfield code="b">zzz</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="520" ind1=" " ind2=" "><subfield code="a">In this paper we prove that any local automorphism on the solvable Leibniz algebras with null-filiform and naturally graded non-Lie filiform nilradicals, whose dimension of complementary space is maximal is an automorphism. Furthermore, the same problem concerning 2-local automorphisms of such algebras is investigated and we obtain the analogously results for 2-local automorphisms.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Leibniz algebras</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Solvable algebras</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Nilradical</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Automorphism</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Local automorphism</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">2-local automorphism</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Karimjanov, I.A.</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(orcid)0000-0002-9343-2579</subfield><subfield code="4">aut</subfield></datafield><datafield 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Local and 2-local automorphisms of some solvable Leibniz algebras

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