Cartan-Eilenberg 复形的Foxby 等价(Foxby equivalences of Cartan-Eilenberg complexes)
Let R be a commutative noetherian ring with a semi-dualizing module C. We introduce CE (abbreviation for Cartan-Eilenberg) Auslander class CΕ - 𝓐C( R ) and CE Bass class CΕ - 𝓑C ( R ) ,and extend the Foxby equivalence to the setting of CE complexes.
| Main Authors: | , |
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2019-11-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2019.06.003 |
| _version_ | 1797235717889327104 |
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| author | ZHANGChunxia(张春霞) QUEChunyue(阙春月) |
| author_facet | ZHANGChunxia(张春霞) QUEChunyue(阙春月) |
| author_sort | ZHANGChunxia(张春霞) |
| collection | DOAJ |
| description | Let R be a commutative noetherian ring with a semi-dualizing module C. We introduce CE (abbreviation for Cartan-Eilenberg) Auslander class CΕ - 𝓐C( R ) and CE Bass class CΕ - 𝓑C ( R ) ,and extend the Foxby equivalence to the setting of CE complexes. |
| first_indexed | 2024-04-24T16:52:24Z |
| format | Article |
| id | doaj.art-b359f1cdabfa490db72bc249909e3265 |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:52:24Z |
| publishDate | 2019-11-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-b359f1cdabfa490db72bc249909e32652024-03-29T01:58:39ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972019-11-0146666066510.3785/j.issn.1008-9497.2019.06.003Cartan-Eilenberg 复形的Foxby 等价(Foxby equivalences of Cartan-Eilenberg complexes)ZHANGChunxia(张春霞)0https://orcid.org/0000-0002-3085-7895QUEChunyue(阙春月)1(School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China)(School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, China)Let R be a commutative noetherian ring with a semi-dualizing module C. We introduce CE (abbreviation for Cartan-Eilenberg) Auslander class CΕ - 𝓐C( R ) and CE Bass class CΕ - 𝓑C ( R ) ,and extend the Foxby equivalence to the setting of CE complexes.https://doi.org/10.3785/j.issn.1008-9497.2019.06.003ce complexsemi-dualizing moduleauslander classbass class |
| spellingShingle | ZHANGChunxia(张春霞) QUEChunyue(阙春月) Cartan-Eilenberg 复形的Foxby 等价(Foxby equivalences of Cartan-Eilenberg complexes) Zhejiang Daxue xuebao. Lixue ban ce complex semi-dualizing module auslander class bass class |
| title | Cartan-Eilenberg 复形的Foxby 等价(Foxby equivalences of Cartan-Eilenberg complexes) |
| title_full | Cartan-Eilenberg 复形的Foxby 等价(Foxby equivalences of Cartan-Eilenberg complexes) |
| title_fullStr | Cartan-Eilenberg 复形的Foxby 等价(Foxby equivalences of Cartan-Eilenberg complexes) |
| title_full_unstemmed | Cartan-Eilenberg 复形的Foxby 等价(Foxby equivalences of Cartan-Eilenberg complexes) |
| title_short | Cartan-Eilenberg 复形的Foxby 等价(Foxby equivalences of Cartan-Eilenberg complexes) |
| title_sort | cartan eilenberg 复形的foxby 等价 foxby equivalences of cartan eilenberg complexes |
| topic | ce complex semi-dualizing module auslander class bass class |
| url | https://doi.org/10.3785/j.issn.1008-9497.2019.06.003 |
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