Derived Equivalences in n-Angulated Categories
Abstract In this paper, we consider n-perforated Yoneda algebras for n-angulated categories, and show that the construction of Hu, König and Xi is still available for n-angulated categories. Namely, under some conditions, n-angles induce derived equivalences between the quotient algebras of n-perfor...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Chen, Yiping [verfasserIn] |
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| Format: |
E-Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2012 |
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| Schlagwörter: |
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| Übergeordnetes Werk: |
Enthalten in: Algebras and representation theory - Dordrecht [u.a.] : Springer Science + Business Media B.V, 1998, 16(2012), 6 vom: 22. Sept., Seite 1661-1684 |
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| Übergeordnetes Werk: |
volume:16 ; year:2012 ; number:6 ; day:22 ; month:09 ; pages:1661-1684 |
| Links: |
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| DOI / URN: |
10.1007/s10468-012-9377-8 |
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| Katalog-ID: |
SPR010292055 |
|---|
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| 520 | |a Abstract In this paper, we consider n-perforated Yoneda algebras for n-angulated categories, and show that the construction of Hu, König and Xi is still available for n-angulated categories. Namely, under some conditions, n-angles induce derived equivalences between the quotient algebras of n-perforated Yoneda algebras. This result generalizes the corresponding results for triangulated categories of Hu, König and Xi. | ||
| 650 | 4 | |a Derived equivalence |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a -angulated category |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a -perforated Yoneda algebra |7 (dpeaa)DE-He213 | |
| 650 | 4 | |a Triangulated category |7 (dpeaa)DE-He213 | |
| 773 | 0 | 8 | |i Enthalten in |t Algebras and representation theory |d Dordrecht [u.a.] : Springer Science + Business Media B.V, 1998 |g 16(2012), 6 vom: 22. Sept., Seite 1661-1684 |w (DE-627)320501647 |w (DE-600)2012288-3 |x 1572-9079 |7 nnns |
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10.1007/s10468-012-9377-8 doi (DE-627)SPR010292055 (SPR)s10468-012-9377-8-e DE-627 ger DE-627 rakwb eng 510 ASE 31.23 bkl Chen, Yiping verfasserin aut Derived Equivalences in n-Angulated Categories 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we consider n-perforated Yoneda algebras for n-angulated categories, and show that the construction of Hu, König and Xi is still available for n-angulated categories. Namely, under some conditions, n-angles induce derived equivalences between the quotient algebras of n-perforated Yoneda algebras. This result generalizes the corresponding results for triangulated categories of Hu, König and Xi. Derived equivalence (dpeaa)DE-He213 -angulated category (dpeaa)DE-He213 -perforated Yoneda algebra (dpeaa)DE-He213 Triangulated category (dpeaa)DE-He213 Enthalten in Algebras and representation theory Dordrecht [u.a.] : Springer Science + Business Media B.V, 1998 16(2012), 6 vom: 22. Sept., Seite 1661-1684 (DE-627)320501647 (DE-600)2012288-3 1572-9079 nnns volume:16 year:2012 number:6 day:22 month:09 pages:1661-1684 https://dx.doi.org/10.1007/s10468-012-9377-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.23 ASE AR 16 2012 6 22 09 1661-1684 |
| spelling |
10.1007/s10468-012-9377-8 doi (DE-627)SPR010292055 (SPR)s10468-012-9377-8-e DE-627 ger DE-627 rakwb eng 510 ASE 31.23 bkl Chen, Yiping verfasserin aut Derived Equivalences in n-Angulated Categories 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we consider n-perforated Yoneda algebras for n-angulated categories, and show that the construction of Hu, König and Xi is still available for n-angulated categories. Namely, under some conditions, n-angles induce derived equivalences between the quotient algebras of n-perforated Yoneda algebras. This result generalizes the corresponding results for triangulated categories of Hu, König and Xi. Derived equivalence (dpeaa)DE-He213 -angulated category (dpeaa)DE-He213 -perforated Yoneda algebra (dpeaa)DE-He213 Triangulated category (dpeaa)DE-He213 Enthalten in Algebras and representation theory Dordrecht [u.a.] : Springer Science + Business Media B.V, 1998 16(2012), 6 vom: 22. Sept., Seite 1661-1684 (DE-627)320501647 (DE-600)2012288-3 1572-9079 nnns volume:16 year:2012 number:6 day:22 month:09 pages:1661-1684 https://dx.doi.org/10.1007/s10468-012-9377-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.23 ASE AR 16 2012 6 22 09 1661-1684 |
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10.1007/s10468-012-9377-8 doi (DE-627)SPR010292055 (SPR)s10468-012-9377-8-e DE-627 ger DE-627 rakwb eng 510 ASE 31.23 bkl Chen, Yiping verfasserin aut Derived Equivalences in n-Angulated Categories 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we consider n-perforated Yoneda algebras for n-angulated categories, and show that the construction of Hu, König and Xi is still available for n-angulated categories. Namely, under some conditions, n-angles induce derived equivalences between the quotient algebras of n-perforated Yoneda algebras. This result generalizes the corresponding results for triangulated categories of Hu, König and Xi. Derived equivalence (dpeaa)DE-He213 -angulated category (dpeaa)DE-He213 -perforated Yoneda algebra (dpeaa)DE-He213 Triangulated category (dpeaa)DE-He213 Enthalten in Algebras and representation theory Dordrecht [u.a.] : Springer Science + Business Media B.V, 1998 16(2012), 6 vom: 22. Sept., Seite 1661-1684 (DE-627)320501647 (DE-600)2012288-3 1572-9079 nnns volume:16 year:2012 number:6 day:22 month:09 pages:1661-1684 https://dx.doi.org/10.1007/s10468-012-9377-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.23 ASE AR 16 2012 6 22 09 1661-1684 |
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10.1007/s10468-012-9377-8 doi (DE-627)SPR010292055 (SPR)s10468-012-9377-8-e DE-627 ger DE-627 rakwb eng 510 ASE 31.23 bkl Chen, Yiping verfasserin aut Derived Equivalences in n-Angulated Categories 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we consider n-perforated Yoneda algebras for n-angulated categories, and show that the construction of Hu, König and Xi is still available for n-angulated categories. Namely, under some conditions, n-angles induce derived equivalences between the quotient algebras of n-perforated Yoneda algebras. This result generalizes the corresponding results for triangulated categories of Hu, König and Xi. Derived equivalence (dpeaa)DE-He213 -angulated category (dpeaa)DE-He213 -perforated Yoneda algebra (dpeaa)DE-He213 Triangulated category (dpeaa)DE-He213 Enthalten in Algebras and representation theory Dordrecht [u.a.] : Springer Science + Business Media B.V, 1998 16(2012), 6 vom: 22. Sept., Seite 1661-1684 (DE-627)320501647 (DE-600)2012288-3 1572-9079 nnns volume:16 year:2012 number:6 day:22 month:09 pages:1661-1684 https://dx.doi.org/10.1007/s10468-012-9377-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.23 ASE AR 16 2012 6 22 09 1661-1684 |
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10.1007/s10468-012-9377-8 doi (DE-627)SPR010292055 (SPR)s10468-012-9377-8-e DE-627 ger DE-627 rakwb eng 510 ASE 31.23 bkl Chen, Yiping verfasserin aut Derived Equivalences in n-Angulated Categories 2012 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier Abstract In this paper, we consider n-perforated Yoneda algebras for n-angulated categories, and show that the construction of Hu, König and Xi is still available for n-angulated categories. Namely, under some conditions, n-angles induce derived equivalences between the quotient algebras of n-perforated Yoneda algebras. This result generalizes the corresponding results for triangulated categories of Hu, König and Xi. Derived equivalence (dpeaa)DE-He213 -angulated category (dpeaa)DE-He213 -perforated Yoneda algebra (dpeaa)DE-He213 Triangulated category (dpeaa)DE-He213 Enthalten in Algebras and representation theory Dordrecht [u.a.] : Springer Science + Business Media B.V, 1998 16(2012), 6 vom: 22. Sept., Seite 1661-1684 (DE-627)320501647 (DE-600)2012288-3 1572-9079 nnns volume:16 year:2012 number:6 day:22 month:09 pages:1661-1684 https://dx.doi.org/10.1007/s10468-012-9377-8 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER SSG-OPC-MAT SSG-OPC-ASE 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_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_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2070 GBV_ILN_2086 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_2116 GBV_ILN_2118 GBV_ILN_2119 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_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_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 31.23 ASE AR 16 2012 6 22 09 1661-1684 |
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English |
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Enthalten in Algebras and representation theory 16(2012), 6 vom: 22. Sept., Seite 1661-1684 volume:16 year:2012 number:6 day:22 month:09 pages:1661-1684 |
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Derived equivalence -angulated category -perforated Yoneda algebra Triangulated category |
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Algebras and representation theory |
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Chen, Yiping @@aut@@ |
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Abstract In this paper, we consider n-perforated Yoneda algebras for n-angulated categories, and show that the construction of Hu, König and Xi is still available for n-angulated categories. Namely, under some conditions, n-angles induce derived equivalences between the quotient algebras of n-perforated Yoneda algebras. This result generalizes the corresponding results for triangulated categories of Hu, König and Xi. |
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Abstract In this paper, we consider n-perforated Yoneda algebras for n-angulated categories, and show that the construction of Hu, König and Xi is still available for n-angulated categories. Namely, under some conditions, n-angles induce derived equivalences between the quotient algebras of n-perforated Yoneda algebras. This result generalizes the corresponding results for triangulated categories of Hu, König and Xi. |
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Abstract In this paper, we consider n-perforated Yoneda algebras for n-angulated categories, and show that the construction of Hu, König and Xi is still available for n-angulated categories. Namely, under some conditions, n-angles induce derived equivalences between the quotient algebras of n-perforated Yoneda algebras. This result generalizes the corresponding results for triangulated categories of Hu, König and Xi. |
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| score |
7.3999014 |