Semidualizing Modules over Numerical Semigroup Rings

E Celikbas, H Geller, T Kobayashi - arXiv preprint arXiv:2306.14989, 2023 - arxiv.org
… In Table 2, we identify all relevant faces of P9 and a sample member of the corresponding
family. We then identify which samples of Table 2 are Burch (see Definition 2.10). We do this …

Theory of linkage, Gorenstein dimension and two semidualizing modules

TS Souza - Journal of Algebra and Its Applications, 2023 - World Scientific
… for modules of finite GC-dimension which are horizontally linked with respect to S, where C
and S are semidualizing modules … In most results, we work with two semidualizing modules, …

On the theory and applications of -dimension with respect to a semidualizing module

CB Miranda-Neto, TS Souza - Journal of Algebra and Its …, 2023 - 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 …

[PDF][PDF] Relative Matlis duality with respect to a semidualizing module

E Tavasoli, M Salimi - ssmr.ro
semidualizing module” is a central notion in relative homological algebra. The study of
semidualizing modules … of dualizing modules and finitely generated projective modules of rank …

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 …

The balance of relative Ext groups defined by semidualizing modules

KA Beigi, K Divaani-Aazar, M Tousi - Journal of Algebra and Its …, 2023 - World Scientific
… the study of semidualizing modules under other names. The notion of semidualizing modules
… a generalization of that of dualizing modules, in fact, a dualizing module is a semidualizing

Relative grade and relative Gorenstein dimension with respect to a semidualizing module

M Salimi, E Tavasoli - Proceedings-Mathematical Sciences, 2023 - Springer
… Throughout this paper, R is a commutative Noetherian ring and all modules are unital. The
notion of a “semidualizing module” is a central notion in relative homological algebra. Ever …

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. …

Relative weak injective and weak flat modules with respect to a semidualizing module

E Tavasoli, M Salimi, S Yassemi - Indian Journal of Pure and Applied …, 2022 - Springer
… 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 (…

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
… -dimension taken with respect to a semidualizing module C and the concept of reduced grade
… It is worth mentioning that the notion of semidualizing module has become a central object …