Gorenstein injective modules over Gorenstein rings

EE Enochs, OMG Jenda - Communications in Algebra, 1998 - Taylor & Francis
R will denote an n-Gorenstein ring, that is, R is left and right noetherian with injective
dimension at most n on either side. R module will mean a left R-module and all modules will …

Ω-Gorenstein projective, injective and flat modules

X Yang, Z Liu - Algebra Colloquium, 2011 - World Scientific
Ω-Gorenstein Projective, Injective and Flat Modules Page 1 Algebra Colloquium c 2011 AMSS
CAS & SUZHOU UNIV Algebra Colloquium 18 : 2 (2011) 273–288 Ω-Gorenstein Projective …

A class of Gorenstein algebras and their dualities

SB Iyengar, W Gnedin, H Krause - 2023 - ems.press
In the recent paper “The Nakayama functor and its completion for Gorenstein algebras”, a
class of Gorenstein algebras over commutative noetherian rings was introduced, and duality …

Gorenstein global dimensions relative to balanced pairs

L Haiyu, Z Rongmin, G Yuxian - Electronic Research Archive, 2020 - aimsciences.org
Let G (X) and G (Y) be Gorenstein subcategories induced by an admissible balanced pair
(X, Y) in an abelian category A. In this paper, we establish Gorenstein homological …

[引用][C] Strongly Gorenstein Flat Dimensions of Modules

Z WANG, H MA - Journal of Mathematical Research with Applications, 2014

Recollements induced by monomorphism categories

Z Wang, Z Liu - Journal of Algebra, 2022 - Elsevier
Let R be any associative ring, na positive integer and X a full subcategory of the category of
R-modules. The monomorphism category S n (X) of X consists of all the objects (X i, φ i) …

[PDF][PDF] Gorenstein semihereditary rings and Gorenstein Prüfer domains

T Xiong - International Electronic Journal of Algebra, 2017 - dergipark.org.tr
GORENSTEIN SEMIHEREDITARY RINGS AND GORENSTEIN PRÜFER DOMAINS Tao Xiong
1. Introduction Throughout this paper, R is an associat Page 1 International Electronic Journal of …

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 …

Gorenstein flat modules relative to injectively resolving subcategories

Z Gao, W Wu - Journal of Algebra and Its Applications, 2022 - World Scientific
Let ℰ be an injectively resolving subcategory of left R-modules. We introduce and study ℰ-
Gorenstein flat modules as a common generalization of some known modules such as …

On Gorenstein FP-Injective and Gorenstein Flat Complexes

D Xin, J Chen, X Zhang - Communications in Algebra, 2013 - Taylor & Francis
In this article, the concept of Gorenstein FP-injective modules and some related known
results are generalized to Gorenstein FP-injective complexes. Moreover, some new …