The existence of Gorenstein flat covers

EE Enochs, OMG Jenda, JA López-Ramos - Mathematica Scandinavica, 2004 - JSTOR
… Now following the terminology of [4] we will call the modules in 3i weakly Gorenstein flat
modules. Let ^ be the same class of modules of Section 2. The following result is analogous to […

Model structures on modules over Ding-Chen rings

J Gillespie - 2010 - projecteuclid.org
… a flat model structure on modules over … projective and Ding flat modules. They are the
obvious generalizations of Gorenstien injective, Gorenstein projective and Gorenstein flat modules

Monic monomial representations I Gorenstein-projective modules

XH Luo, P Zhang - arXiv preprint arXiv:1510.05124, 2015 - arxiv.org
… The main result Theorem 4.1 claims that a Λ-module is Gorensteinprojective if and only …
Gorenstein. In this way we give an inductive construction of the Gorensteinprojective Λ-modules

Strongly Gorenstein flat and Gorenstein FP-injective modules

C Yang - Turkish Journal of Mathematics, 2013 - journals.tubitak.gov.tr
… homological properties of strongly Gorenstein flat modules over a general … Gorenstein flat
R-modules is projectively resolving, and for any module M with finite strongly Gorenstein flat

Silting complexes and Gorenstein projective modules

N Gao, J Ma, C Zhang - arXiv preprint arXiv:2110.12161, 2021 - arxiv.org
… the usual silting modules (resp. complexes). We show … Gorenstein silting modules are the
module-theoretic counterpart of 2-term Gorenstein silting complexes; and partial Gorenstein

Projectively coresolved Gorenstein flat dimension of groups

DD Stergiopoulou - Journal of Algebra, 2024 - Elsevier
… in Gorenstein homological algebra. However, the relation … Gorenstein projective and
Gorenstein flat modules is not well understood. For example, projective modules are always flat, but …

Gorenstein flat modules with respect to duality pairs

Z Wang, G Yang, R Zhu - Communications in Algebra, 2019 - Taylor & Francis
… R-modules, Y be a class of right R-modules. In this article, we introduce and study Gorenstein
( X , Y ) -flat modules as … known modules such as Gorenstein flat modules, Gorenstein n-flat

Minimal injective and flat resolutions of modules over Gorenstein rings

JZ Xu - Journal of Algebra, 1995 - Elsevier
… We are concerned primarily with the modules having a certain vanishing property of their …
show that R is Gorenstein if and only if pa,(p, F) = 0 whenever ht(p) = i for any flat module F. In …

[PDF][PDF] When the flat and Gorenstein flat dimensions coincide?

S Bouchiba - Colloq. Math, 2017 - researchgate.net
… n (I,M) = 0 for some injective right module I} = ∞ implies GfdR(M) = fdR(M) = ∞. Therefore …
next is on modules of finite Gorenstein flat dimension, precisely on modules possessing a flat

Gorenstein gr-injective and gr-projective modules

MJ Asensio, JAL Ramos… - Communications in …, 1998 - Taylor & Francis
… In section 3 we define Gorenstein gr-injective modules and characterize them in terms its …
we study finitely generated Gorenstein gr-projective modules in a dual way of Gorenstein gr-…