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arXiv · 2207.00075

$m$-periodic Gorenstein objects

Mindy Huerta·Octavio Mendoza·Marco A. Pérez
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Abstract

We present and study the concept of $m$-periodic Gorenstein objects relative to a pair $(\mathcal{A,B})$ of classes of objects in an abelian category, as a generalization of $m$-strongly Gorenstein projective modules over associative rings. We prove several properties in some cases where $(\mathcal{A,B})$ satisfies certain homological conditions, like for instance when $(\mathcal{A,B})$ is a GP-admissible pair. Connections to Gorenstein objects and Gorenstein homological dimensions relative to these pairs are also established.

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Mindy Huerta, Octavio Mendoza, Marco A. Pérez. 2022-06-30. $m$-periodic Gorenstein objects. https://arxiv.org/abs/2207.00075

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