The cotorsion pair generated by the Gorenstein projective modules and -pure-injective modules

M Cortés-Izurdiaga, J Šaroch - arXiv preprint arXiv:2104.08602, 2021 - arxiv.org
We prove that, if $\textrm {GProj} $ is the class of all Gorenstein projective modules over a
ring $ R $, then $\mathfrak {GP}=(\textrm {GProj},\textrm {GProj}^\perp) $ is a cotorsion pair …

Gorenstein homological algebra relative to a tilting-like module

R EL MAAOUY - 2023 - toubkal.imist.ma
In recent years, a variant of Gorenstein homological algebra has been successfully
introduced. It consists of replacing, in certain situations, the base ring by a semidualizing …

Some Remarks on Gorenstein Projective Precovers

V Becerril - arXiv preprint arXiv:2403.10727, 2024 - arxiv.org
In this paper, we prove that for a $ n $-perfect ring $ R $ various classes of relative
Gorenstein projective $ R $-modules are special precovering, among them including the …

Monic modules and semi-Gorenstein-projective modules

P Zhang - Journal of Pure and Applied Algebra, 2023 - Elsevier
The category gp (Λ) of Gorenstein-projective modules over tensor algebra Λ= A⊗ k B can be
described as the monomorphism category mon (B, gp (A)) of B over gp (A). In particular …

Homological and homotopical aspects of Gorenstein flat modules and complexes relative to duality pairs

V Becerril, MA Pérez - arXiv preprint arXiv:2210.11014, 2022 - arxiv.org
We study homological and homotopical aspects of Gorenstein flat modules over a ring with
respect to a duality pair $(\mathcal {L, A}) $. These modules are defined as cycles of exact …

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 …

Gorenstein modules and dualizing modules

Y Li - Communications in Algebra, 2015 - Taylor & Francis
Full article: Gorenstein Modules and Dualizing Modules Skip to Main Content Taylor and Francis
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Canonical filtrations of Gorenstein injective modules

E Enochs, Z Huang - Proceedings of the American Mathematical Society, 2011 - ams.org
The principle “Every result in classical homological algebra should have a counterpart in
Gorenstein homological algebra” was given by Henrik Holm. There is a remarkable body of …

Monomial Algebras over Infinite Quivers. Applications to N-Complexes of Modules

S Estrada - Communications in Algebra®, 2007 - Taylor & Francis
We apply previous techniques on infinite quivers to describe projective and injective
modules over a monomial algebra Λ= RQ/I (where R is any arbitrary ring with identity). Then …

On Gorenstein injective and projective comodules

QX Pan, Q Li - Mathematical Notes, 2013 - Springer
Gorenstein injective, projective and coflat comodules were introduced and studied by
Asensio and Enochs et al. We further investigate these comodules and introduce n …