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Gorenstein objects in the n-Trivial extensions of abelian categories - MaRDI portal

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Gorenstein objects in the n-Trivial extensions of abelian categories

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Publication:6340968

arXiv2005.09038MaRDI QIDQ6340968

Author name not available (Why is that?)

Publication date: 18 May 2020

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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