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arXiv · 2005.09038

Gorenstein objects in the n-Trivial extensions of abelian categories

Dirar Benkhadra
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Abstract

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.

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Dirar Benkhadra. 2020-05-18. Gorenstein objects in the n-Trivial extensions of abelian categories. https://arxiv.org/abs/2005.09038

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