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 …
On reduced G-perfection and horizontal linkage
CB Miranda-Neto, TS Souza - Communications in Algebra, 2024 - Taylor & Francis
In this paper, we contribute to the theory of reduced G-perfection and horizontal linkage of
modules over a commutative, Noetherian (typically, local) ring R, in the general setting …
modules over a commutative, Noetherian (typically, local) ring R, in the general setting …
Syzygy and torsionless modules with respect to a semidualizing module
This paper aims at generalizing the notions of “Auslander dual”,“k-torsionless” and “k-th
syzygy” modules to the relative setting with respect to a semidualizing module. It is shown …
syzygy” modules to the relative setting with respect to a semidualizing module. It is shown …
On reduced G-perfection and horizontal linkage relative to a semidualizing module
CB Miranda-Neto, TS Souza - arXiv preprint arXiv:2201.00847, 2022 - arxiv.org
In their investigation of horizontal linkage of modules of finite Gorenstein dimension over a
commutative, Noetherian, semiperfect (eg, local) ring, Dibaei and Sadeghi introduced the …
commutative, Noetherian, semiperfect (eg, local) ring, Dibaei and Sadeghi introduced the …
[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 …
Local cohomology modules and Gorenstein injectivity with respect to a semidualizing module
MR Zargar - Archiv der Mathematik, 2013 - Springer
Let (R, m) be a local ring, and let C be a semidualizing R-module. In this paper, we are
concerned with the C-injective and GC-injective dimensions of certain local cohomology …
concerned with the C-injective and GC-injective dimensions of certain local cohomology …
On the theory of Gorenstein dimension with respect to a semidualizing module
TS Souza - 2019 - repositorio.ufpb.br
This work studies the notions of k-torsionless modules and reduced G-perfect modules in a
more general setting, relative to a semidualizing module. We consider various aspects and …
more general setting, relative to a semidualizing module. We consider various aspects and …
Relative tilting modules with respect to a semidualizing module
M Salimi - Czechoslovak Mathematical Journal, 2019 - Springer
Let R be a commutative Noetherian ring, and let C be a semidualizing R-module. The notion
of C-tilting R-modules is introduced as the relative setting of the notion of tilting R-modules …
of C-tilting R-modules is introduced as the relative setting of the notion of tilting R-modules …
[PDF][PDF] Erratum to: Top local cohomology modules and Gorenstein injectivity with respect to a semidualizing module
Erratum to: Top local cohomology modules and Gorenstein injectivity with respect to a
semidualizing module Page 1 Arch. Math. 100 (2013), 241–243 c© 2013 Springer Basel …
semidualizing module Page 1 Arch. Math. 100 (2013), 241–243 c© 2013 Springer Basel …