-CANONICAL MODULES

M Bagheri, AJ Taherizadeh - International Electronic Journal of …, 2021 - dergipark.org.tr
Let $ C $ be a semidualizing module over a commutative Noetherian local ring $ R $. In this
paper we introduce a new class of modules, namely $ C $-canonical modules which are a …

On generalized Cohen–Macaulay canonical modules

NT Hong Loan, LT Nhan - Communications in Algebra, 2013 - Taylor & Francis
Let (R, 𝔪) be a Noetherian local ring which is a quotient of a Gorenstein local ring. A finitely
generated R-module M is called generalized Cohen–Macaulay canonical if the canonical …

Gorenstein right derived functors of−⊗− with respect to semidualizing modules

J Hu, D Zhang, N Ding - Communications in Algebra, 2014 - Taylor & Francis
Full article: Gorenstein Right Derived Functors of − ⊗ −with Respect to Semidualizing
Modules Skip to Main Content Taylor and Francis Online homepage Taylor and Francis …

G-Gorenstein modules

M Aghajani, H Zakeri - Algebra Colloquium, 2012 - World Scientific
Let R be a commutative Noetherian ring. In this paper, we study those finitely generated R-
modules whose Cousin complexes provide Gorenstein injective resolutions. We call such a …

New characterizations of dualizing modules

X Tang - Communications in Algebra, 2012 - Taylor & Francis
Let R be a commutative Noetherian ring. In this article, we provide some new criteria for a
semidualizing module to be dualizing in terms of special homological properties of module …

Gorenstein injective and projective complexes with respect to a semidualizing module

C Yang, L Liang - Communications in Algebra, 2012 - Taylor & Francis
Let R be a commutative (possibly non-Noetherian) ring (in order to make things less
technical) and C a semidualizing R-module. In this article, we introduce and investigate the …

A generalization of strongly Gorenstein projective modules

D Bennis, N Mahdou - Journal of Algebra and its Applications, 2009 - World Scientific
This paper generalize the idea of the authors in J. Pure Appl. Algebra 210 (2007) 437–445.
Namely, we define and study a particular case of Gorenstein projective modules. We …

Characterizing local rings via perfect and coperfect modules

M Rahmani, A Taherizadeh - Journal of Algebra and Its Applications, 2017 - World Scientific
Let R be a Noetherian ring and let C be a semidualizing R-module. In this paper, by using
the classes 𝒫 C and ℐ C, we extend the notions of perfect and coperfect modules introduced …

[PDF][PDF] X-injective and Gorenstein X-injective modules

C Selvaraj, A Umamaheswaran - Far East Journal of Mathematical …, 2014 - researchgate.net
X -INJECTIVE AND GORENSTEIN X -INJECTIVE MODULES Page 1 Far East Journal of
Mathematical Sciences (FJMS) © 2014 Pushpa Publishing House, Allahabad, India …

A note on cofinite modules over Noetherian complete local rings

G Pirmohammadi - 2022 - projecteuclid.org
Abstract Let (R,\frakm) be a commutative Noetherian complete local ring and let I be a
proper ideal of R such that the category of all I-cofinite R-modules is an Abelian subcategory …