Theory of linkage, Gorenstein dimension and two semidualizing modules
TS Souza - Journal of Algebra and Its Applications, 2023 - World Scientific
Let R be a semiperfect commutative Noetherian ring with identity and C, S be semidualizing
R-modules. We study the theory of linkage with respect to S for modules of finite GC …
R-modules. We study the theory of linkage with respect to S for modules of finite GC …
[HTML][HTML] Linkage of finite GC-dimension modules
A Sadeghi - Journal of Pure and Applied Algebra, 2017 - Elsevier
Let R be a semiperfect commutative Noetherian ring and C a semidualizing R-module. We
study the theory of linkage for modules of finite G C-dimension. For a horizontally linked R …
study the theory of linkage for modules of finite G C-dimension. For a horizontally linked R …
Gorenstein dimensions over some rings of the form
PP Aung - Journal of Algebra and Its Applications, 2016 - World Scientific
Given a semidualizing module C over a commutative Noetherian ring, Holm and Jørgensen
[Semi-dualizing modules and related Gorenstein homological dimensions, J. Pure Appl …
[Semi-dualizing modules and related Gorenstein homological dimensions, J. Pure Appl …
Homological dimensions and semidualizing complexes
AA Gerko - Journal of Mathematical Sciences, 2007 - Springer
For finite modules over a local ring and complexes with finitely generated homology, we
consider several homological invariants sharing some basic properties with projective …
consider several homological invariants sharing some basic properties with projective …
Gorenstein homological dimension with respect to a semidualizing module and a generalization of a theorem of Bass
Let C be a semidualizing module for a commutative ring R. In this paper, we study the
resulting modules of finite GC-projective dimension in Bass class, showing that they admit …
resulting modules of finite GC-projective dimension in Bass class, showing that they admit …
[PDF][PDF] On relative Gorenstein homological dimensions with respect to a dualizing module
M Salimi - Mat. Vesnik, 2017 - emis.icm.edu.pl
Let R be a commutative Noetherian ring. The aim of this paper is studying the properties of
relative Gorenstein modules with respect to a dualizing module. It is shown that every …
relative Gorenstein modules with respect to a dualizing module. It is shown that every …
Linkage of finite Gorenstein dimension modules
MT Dibaei, A Sadeghi - Journal of Algebra, 2013 - Elsevier
For a horizontally linked module, over a commutative semiperfect Noetherian ring R, the
connections of its invariants reduced grade, Gorenstein dimension and depth are studied. It …
connections of its invariants reduced grade, Gorenstein dimension and depth are studied. It …
Linkage of modules with respect to a semidualizing module
MT Dibaei, A Sadeghi - Pacific Journal of Mathematics, 2018 - msp.org
The notion of linkage with respect to a semidualizing module is introduced. This notion
enables us to study the theory of linkage for modules in the Bass class with respect to a …
enables us to study the theory of linkage for modules in the Bass class with respect to a …
Homological invariants associated to semi-dualizing bimodules
T Araya, R Takahashi, Y Yoshino - Journal of Mathematics of …, 2005 - projecteuclid.org
Cohen-Macaulay dimension for modules over a commutative ring has been defined by AA
Gerko. That is a homological invariant sharing many properties with projective dimension …
Gerko. That is a homological invariant sharing many properties with projective dimension …
Notes on linkage of modules with respect to a semidualizing module
TS Souza - Communications in Algebra, 2023 - Taylor & Francis
In this paper we further develop the theory of linkage with respect to a semidualizing module
C introduced in 2018 by Dibaei and Sadeghi. It is shown that under certain conditions a …
C introduced in 2018 by Dibaei and Sadeghi. It is shown that under certain conditions a …
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