Envelopes, covers and semidualizing modules
L Mao - Journal of Algebra and Its Applications, 2019 - World Scientific
… semidualizing modules to general associative rings. Recall that an R-module C is semidualizing
[… For example, a finitely generated projective R-module of rank 1 is semidualizing. If R is …
[… For example, a finitely generated projective R-module of rank 1 is semidualizing. If R is …
Semidualizing modules over numerical semigroup rings
E Celikbas, H Geller, T Kobayashi - arXiv preprint arXiv:2306.14989, 2023 - arxiv.org
… canonical module K, then K is also a semidualizing R-module. … a nontrivial semidualizing
module, ie, a semidualizing module … nontrivial semidualizing modules in his unpublished notes. …
module, ie, a semidualizing module … nontrivial semidualizing modules in his unpublished notes. …
[HTML][HTML] Semidualizing modules of 2× 2 ladder determinantal rings
SK Sather-Wagstaff, T Se, S Spiroff - Journal of Algebra, 2019 - Elsevier
… The question [14, Question 4.13] that we address in this paper relates to the cardinality of
the set of semidualizing modules S 0 ( R ) of a Noetherian local ring R: Must it always be a …
the set of semidualizing modules S 0 ( R ) of a Noetherian local ring R: Must it always be a …
On the theory and applications of -dimension with respect to a semidualizing module
CB Miranda-Neto, TS Souza - Journal of Algebra and Its …, 2024 - World Scientific
… of Gdimension relative to a semidualizing module (see [14, 16… to point out that semidualizing
modules are, vaguely speaking… a semidualizing module other than R as a module over itself …
modules are, vaguely speaking… a semidualizing module other than R as a module over itself …
Relative tilting modules with respect to a semidualizing module
M Salimi - Czechoslovak Mathematical Journal, 2019 - Springer
… modules, where C is a semidualizing R-module. Also, we show that every finitely generated
C-tilting R-module is C-projective, where C is a semidualizing R-module… to C-tilting modules. …
C-tilting R-module is C-projective, where C is a semidualizing R-module… to C-tilting modules. …
On the freeness of dual semidualizing modules
M Bagheri, A Taherizadeh - Communications in Algebra, 2022 - Taylor & Francis
… A finitely generated R-module C is called a semidualizing module whenever χ C is an …
and the canonical module of a Cohen–Macaulay local ring are semidualizing modules. …
and the canonical module of a Cohen–Macaulay local ring are semidualizing modules. …
Buchweitz's equivalences for Gorenstein flat modules with respect to semidualizing modules
J Hu, Y Geng, J Wu, H Li - Journal of Algebra and Its Applications, 2021 - World Scientific
… The notion of semidualizing modules gives rise to several distinguished classes of modules.
… 3, for a given semidualizing module C, we study the C-Gorenstein flat dimension for …
… 3, for a given semidualizing module C, we study the C-Gorenstein flat dimension for …
Theory of linkage, Gorenstein dimension and two semidualizing modules
TS Souza - Journal of Algebra and Its Applications, 2024 - World Scientific
… The notion of semidualizing module has become a central object … Among various research
areas on semidualizing modules, … of a module with respect to a semidualizing module C (see …
areas on semidualizing modules, … of a module with respect to a semidualizing module C (see …
Finitistic dimension and orthogonal classes of Gorenstein projective modules with respect to a semidualizing module
E Tavasoli - Communications in Algebra, 2019 - Taylor & Francis
… Throughout this article, R is a commutative Noetherian ring and all modules are unital.
The notion of a “semidualizing module” is one of the most central notion in the relative …
The notion of a “semidualizing module” is one of the most central notion in the relative …
Relative weak injective and weak flat modules with respect to a semidualizing module
… Among various research areas on semidualizing modules, one sometimes focuses on … to
a semidualizing module. In this paper, we introduce the notion of relative FP-injective modules (…
a semidualizing module. In this paper, we introduce the notion of relative FP-injective modules (…