Strongly $FP$-injective dimensions and Gorenstein projective precovers
Rings and Algebras
2026-02-25 v2 Commutative Algebra
Abstract
The existence of the Gorenstein projective precovers over an arbitrary ring, as well as the completeness of the Gorenstein projective cotorsion pair , are open questions. In this paper, we provide some answers to these questions and use the tool developed to confirm the Gorenstein Symmetry Conjecture, under two different situations. We also analyze situations where the finiteness of implies finite, and its counterpart.
Cite
@article{arxiv.2602.00932,
title = {Strongly $FP$-injective dimensions and Gorenstein projective precovers},
author = {Víctor Becerril},
journal= {arXiv preprint arXiv:2602.00932},
year = {2026}
}