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 …

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 …

Notes on linkage of modules

A Sadeghi - Proceedings of the Edinburgh Mathematical Society, 2019 - cambridge.org
Let R be a Cohen–Macaulay local ring. It is shown that under some mild conditions, the
Cohen–Macaulay property is preserved under linkage. We also study the connection of the …

[HTML][HTML] Totally reflexive modules and Poincaré series

M Gheibi, R Takahashi - Journal of Algebra, 2019 - Elsevier
Abstract We study Cohen–Macaulay non-Gorenstein local rings (R, m, k) admitting certain
totally reflexive modules. More precisely, we give a description of the Poincaré series of k by …

Linkage of modules by reflexive morphisms

F Dehghani-Zadeh, MT Dibaei… - Journal of the …, 2022 - jstage.jst.go.jp
In this paper, we introduce and study the notion of linkage of modules by reflexive
homomorphisms. This notion unifies and generalizes several known concepts of linkage of …