Gorenstein projective, injective, and flat complexes

X Yang, Z Liu - Communications in Algebra, 2011 - Taylor & Francis
Enochs and Jenda gave some characterizations of Gorenstein injective and projective
complexes over n-Gorenstein rings. The aim of this article is to generalize these results and …

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 flat covers of modules over Gorenstein rings

E Enochs, J Xu - Journal of Algebra, 1996 - Elsevier
A left and right Noetherian ringRis called Gorenstein if bothRRandRRhave finite injective
dimensions. These rings were studied by Bass for the commutative case and Iwanaga for …

Relative Gorenstein flat modules and dimension

D Bennis, R El Maaouy, JRG Rozas… - Communications in …, 2022 - Taylor & Francis
In this article, the new concept of relative Gorenstein flat modules is introduced. We give a
survey of their behavior in terms of both structural and dimension properties. We relate the …

Weak Gorenstein projective, injective and flat modules

Z Gao - Journal of Algebra and Its Applications, 2013 - World Scientific
In this paper, weak Gorenstein projective, injective and flat modules are introduced and
investigated. A left R-module M is called weak Gorenstein projective if there exists an exact …

A class of transversal polymatroids with Gorenstein base ring

A Ştefan - Bulletin mathématique de la Société des Sciences …, 2008 - JSTOR
In this paper, the principal tool to describe transversal poiymatroids with Gorenstein base
ring is polyhedral geometry, especially the Danilov-Stanley theorem for the characterization …

Gorenstein flat-cotorsion modules over formal triangular matrix rings

D Wu - 대한수학회보, 2021 - kiss.kstudy.com
Let $ A $ and $ B $ be rings and $ U $ be a $(B, A) $-bimodule. If $ _BU $ has finite flat
dimension, $ U_A $ has finite flat dimension and $\tpa {U}{C} $ is a cotorsion left $ B …

Gorenstein flat modules over some Morita context rings

L Mao - Journal of Algebra and Its Applications, 2024 - World Scientific
Gorenstein flat modules over some Morita context rings Page 1 2 January 13, 2023 15:53
WSPC/S0219-4988 171-JAA 2450096 Journal of Algebra and Its Applications (2024) 2450096 …

Recollements of stable categories of Gorenstein injective modules

Z Wang, T Mu, X Wang - Journal of Algebra and Its Applications, 2021 - World Scientific
Let A and B be rings, U a (B, A)-bimodule and T= A 0 UB be a triangular matrix ring. We first
give an explicit description for Gorenstein injective T-modules over the triangular matrix ring …

Strongly Gorenstein flat modules

N Ding, Y Li, L Mao - Journal of the Australian Mathematical Society, 2009 - cambridge.org
In this paper, strongly Gorenstein flat modules are introduced and investigated. An R-
module M is called strongly Gorenstein flat if there is an exact sequence⋯→ P1→ P0→ P0→ …