[PDF][PDF] On (Gorenstein) homological dimensions relative to a non-necessary semidualizing module.

R El Maaouy - 2022 - researchgate.net
… An R-module M is said to be C-Gorenstein projective if there exists an exact sequence of
R-modules … An R-module M is said to be C-Gorenstein flat if there exists an exact …

Some Remarks on Gorenstein Projective Precovers

V Becerril - arXiv preprint arXiv:2403.10727, 2024 - arxiv.org
… Also we prove that the class of projectively coresolved Gorenstein flat PGF(R) fulfils the … of
Gorenstein projective R-modules relative to the Auslander class AC (R) of a semidualizing (R, …

Linkage of modules with respect to a semidualizing module

MT Dibaei, A Sadeghi - Pacific Journal of Mathematics, 2018 - msp.org
module, every Cohen–Macaulay module of finite Gorenstein … for a linked R-module M, with
respect to a semidualizing, the … certain relative cohomology modules of its linked module is …

Gorenstein flat complexes with respect to a semidualizing module

L Liang, C Yang - Algebra Colloquium, 2015 - World Scientific
Gorenstein projective, Gorenstein injective and Gorenstein flat modules with respect to a
semidualizing module … , GC-injective and GC-flat modules, respectively. They proved that an R-…

Transfer Properties of Gorenstein Flat Modules with Respect to a Semidualizing Module Along Ring Homomorphisms

X CAI, CAO Miao, Z DI - Journal of Southwest China Normal …, 2020 - xbgjxt.swu.edu.cn
… Let C be a semidualizing R-module over a commutative … S-Gorenstein flat S-modules is
closed under extensions, then an R-module M is C-Gorenstein flat if and only if the S-module S⊗ …

Gorenstein flat modules with respect to duality pairs

Z Wang, G Yang, R Zhu - Communications in Algebra, 2019 - Taylor & Francis
… the Gorenstein flat modules. In [Citation7], Estrada, Iacob and Péres studied relative Gorenstein
flat … Let R be a commutative ring, C be a semidualizing module, and let F C = { C ⊗ R F | …

[PDF][PDF] Model structures and relative Gorenstein flat modules

S Estrada, A Iacob, MA Pérez - Preprint, 2017 - researchgate.net
Gorenstein flat left Rmodules relative to a class B ⊆ Mod(Rop). We prove some general
properties and equivalent characterizations of these modulesGorenstein flat complexes relative

Global dimensions of rings with respect to a semidualizing module

G Zhao, J Sun - arXiv preprint arXiv:1307.0628, 2013 - arxiv.org
… In Section 4, relative to a semidualizing module C, we firstly define … Then we discuss the
relations between the C-Gorenstein … behavior of modules over rings of finite C-Gorenstein global …

A UNIFIED APPROACH TO VARIOUS GORENSTEIN MODULES

R Zhao, Y Li - Rocky Mountain Journal of Mathematics, 2022 - projecteuclid.org
… : Gorenstein module, semidualizing … (Gorenstein) homological results relative to a
semidualizing bimodule SCR still work when the conditions of SCR being faithfully semidualizing are …

Codualizing modules

M Rahmani, AJ Taherizadeh - arXiv preprint arXiv:1611.08881, 2016 - arxiv.org
module that characterize the codualizing module. As an application, we obtain a necessary
and sufficient condition for R to be Gorensteinsemidualizing and quasidualizing R-modules