Rings satisfying every finitely generated module has a Gorenstein projective (pre) envelope
L Mao - Communications in Algebra, 2018 - Taylor & Francis
Let R be a ring. We introduce the concept of Gorenstein f-projective R-modules and obtain
some closure properties of Gorenstein f-projective R-modules. As a consequence, we …
some closure properties of Gorenstein f-projective R-modules. As a consequence, we …
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 …
applications of our result, we prove that a strongly Gorenstein projective module of …
Coherent rings and Gorenstein FP-injective modules
Z Gao, F Wang - Communications in Algebra, 2012 - Taylor & Francis
In this article, Gorenstein FP-injective modules are introduced and investigated. A left R-
module M is called Gorenstein FP-injective if there is an exact sequence…→ E 1→ E 0→ E …
module M is called Gorenstein FP-injective if there is an exact sequence…→ E 1→ E 0→ E …
Gorenstein n-flat modules and their covers
C Selvaraj, R Udhayakumar… - … -European Journal of …, 2014 - World Scientific
In this paper, we introduce the notion of Gorenstein n-flat modules and Gorenstein n-
absolutely pure modules. First, we prove that the direct limit of Gorenstein n-flat modules …
absolutely pure modules. First, we prove that the direct limit of Gorenstein n-flat modules …
Gorenstein injective and projective complexes
EE Enochs, JR Garcí Rozas - Communications in Algebra, 1998 - Taylor & Francis
In this article we extend the notion of Gorenstein injective and projective modules to that of
complexes and characterize such complexes. We prove that over an n-Gorenstein ring every …
complexes and characterize such complexes. We prove that over an n-Gorenstein ring every …
Gorenstein FP-injective and Gorenstein flat modules
L Mao, N Ding - Journal of Algebra and Its Applications, 2008 - World Scientific
In this paper, Gorenstein FP-injective modules are introduced and studied. An R-module M
is called Gorenstein FP-injective if there is an exact sequence⋯→ E1→ E0→ E0→ E1→⋯ of …
is called Gorenstein FP-injective if there is an exact sequence⋯→ E1→ E0→ E0→ E1→⋯ of …
Gorenstein projective, injective and flat modules over trivial ring extensions
L Mao - arXiv preprint arXiv:2305.15656, 2023 - arxiv.org
We introduce the concepts of generalized compatible and cocompatible bimodules in order
to characterize Gorenstein projective, injective and flat modules over trivial ring extensions …
to characterize Gorenstein projective, injective and flat modules over trivial ring extensions …
Some conditions for the existence of Gorenstein projective covers and preenvelopes
B Yu - Journal of Algebra and Its Applications, 2016 - World Scientific
In this paper, we investigate the rings over which a module is Gorenstein flat if and only if it is
Gorenstein projective. Some examples of such rings are given. We show that over such …
Gorenstein projective. Some examples of such rings are given. We show that over such …
Rings over which all (finitely generated) strongly Gorenstein projective modules are projective
N Mahdou, K Ouarghi - arXiv preprint arXiv:0902.2237, 2009 - arxiv.org
arXiv:0902.2237v3 [math.AC] 10 Mar 2010 Page 1 arXiv:0902.2237v3 [math.AC] 10 Mar 2010
Rings over which all (finitely generated strongly) Gorenstein projective modules are projective …
Rings over which all (finitely generated strongly) Gorenstein projective modules are projective …
Gorenstein projective precovers
S Estrada, A Iacob, K Yeomans - Mediterranean Journal of Mathematics, 2017 - Springer
We prove that the class of Gorenstein projective modules is special precovering over any left
GF-closed ring such that every Gorenstein projective module is Gorenstein flat and every …
GF-closed ring such that every Gorenstein projective module is Gorenstein flat and every …