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
… all Gorenstein projective modules over a ring R, then GP = (GProj, GProj⊥) is a cotorsion
pair. Moreover, GP is complete when all projective modules … of the projective modules. On the …

[HTML][HTML] The role of w-tilting modules in relative Gorenstein (co) homology

D Bennis, E Duarte, JRG Rozas, L Oyonarte - Open Mathematics, 2021 - degruyter.com
… We investigate Gorenstein flat modules relative to a not necessarily semidualizing module C
… We find the conditions for the class of G C -flat modules to be covering (Corollary 5.7) and to …

Strongly Gorenstein projective, injective and flat modules over formal triangular matrix rings

L Mao - Bulletin mathématique de la Société des Sciences …, 2020 - JSTOR
… Later, Bennis and Mahdou studied a particular case of Gorenstein projective, injective
and flat modules, which they called respectively, strongly Gorenstein projective, injective …

Relative Gorenstein flat modules and Foxby classes and their model structures

D Bennis, RE Maaouy, JRG Rozas… - arXiv preprint arXiv …, 2022 - arxiv.org
… We also study the class of GC-flat modules and the Bass class from the Auslander-Buchweitz
approximation theory point of view. We show that they are part of weak AB-contexts. As the …

Gorenstein flat covers of modules over Gorenstein rings

E Enochs, J Xu - Journal of Algebra, 1996 - Elsevier
… define Gorenstein flat modules over a Gorenstein ring. These … Gorenstein projective cover.
Finally, in Section 3, we prove that every module over a Gorenstein ring has a Gorenstein flat

Generalized Gorenstein modules

A Iacob - Algebra Colloquium, 2022 - World Scientific
… We also consider the dual notion, that of Gorenstein FPn-projective modules. We use
FFn to denote the class of FPn-flat modules. We say that a module M is Gorenstein FPn-projective

Gorenstein FP-injective and Gorenstein flat modules

L Mao, N Ding - Journal of Algebra and Its Applications, 2008 - World Scientific
… We study how Gorenstein FP-injective R-modules, together with Gorenstein flat modules, …
For example, it is shown that a left module M over a left coherent ring is Gorenstein FP-injective …

All modules have Gorenstein flat precovers

G Yang, L Liang - Communications in Algebra, 2014 - Taylor & Francis
… R-module has a flat precover. We show in the paper that every R-module has a Gorenstein
flat … In this paper, we prove that the class of Gorenstein flat R-modules is a precovering class …

Monic representations and Gorenstein-projective modules

XH Luo, P Zhang - Pacific Journal of Mathematics, 2013 - msp.org
… We emphasize that here is not necessarily Gorenstein. By our main result, if we know all
the Gorensteinprojective A-modules, we know all the Gorenstein-projective -modules, and, in …

Super finitely presented modules and Gorenstein projective modules

F Wang, L Qiao, H Kim - Communications in Algebra, 2016 - Taylor & Francis
… where each P i is finitely generated projective. In this article, it is shown … module has finite
Gorenstein projective dimension, then every finitely generated Gorenstein projective module is …