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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2020
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2005.09038 |
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Table des matières:
- 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.