A characterization of Gorenstein projective modules

J Wang, L Liang - Communications in Algebra, 2016 - Taylor & Francis
In this article, we give a new characterization of Gorenstein projective modules. As
applications of our result, we prove that a strongly Gorenstein projective module of …

The class of Gorenstein injective modules is covering if and only if it is closed under direct limits

A Iacob - arXiv preprint arXiv:2403.02493, 2024 - arxiv.org
We prove that the class of Gorenstein injective modules is covering if and only if it is closed
under direct limits. This adds to the list of examples that support Enochs conjecture: Every …

Sheaves over infinite posets

J Asadollahi, P Bahiraei, R Hafezi… - Journal of Algebra and Its …, 2017 - World Scientific
In this paper, we study the category of sheaves over an infinite partially ordered set with its
natural topological structure. Totally acyclic complexes in this category will be characterized …

The Existence of Gorenstein Injective Envelopes

Z Heidarian - Journal of Mathematical Extension, 2015 - ijmex.com
The Existence of Gorenstein Injective Envelopes 1. Introduction Page 1 Journal of
Mathematical Extension Vol. 9, No. 4, (2015), 99-105 ISSN: 1735-8299 URL: http://www.ijmex.com …