Gorenstein objects in the n-Trivial extensions of abelian categories
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2020
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| _version_ | 1866911944417476608 |
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| author | Benkhadra, Dirar |
| author_facet | Benkhadra, Dirar |
| contents | Given an abelian category, we introduce a categorical concept of (strongly) Gorenstein projective (resp., injective) objects, by defining a new special class of objects. Then we study the transfer of these properties when passing to an abelian category and its n-trivial extension category and also give a characterization of Gorenstein object over it. We give, at the end, applications of this study on the category of modules over an associative ring and triangular matrix rings. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2005_09038 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Gorenstein objects in the n-Trivial extensions of abelian categories Benkhadra, Dirar K-Theory and Homology Category Theory Given an abelian category, we introduce a categorical concept of (strongly) Gorenstein projective (resp., injective) objects, by defining a new special class of objects. Then we study the transfer of these properties when passing to an abelian category and its n-trivial extension category and also give a characterization of Gorenstein object over it. We give, at the end, applications of this study on the category of modules over an associative ring and triangular matrix rings. |
| title | Gorenstein objects in the n-Trivial extensions of abelian categories |
| topic | K-Theory and Homology Category Theory |
| url | https://arxiv.org/abs/2005.09038 |