[PDF][PDF] Gorenstein homological dimensions with respect to a semidualizing module

Z Zhang, J Wei - International Electronic Journal of Algebra, 2018 - dergipark.org.tr
Relative algebra with respect to a semidualizing module has … presented Gorenstein projective
R-module is Gorenstein flat … the C-Gorenstein projective R-module is C-Gorenstein flat R-…

Weak Gorenstein cotorsion modules

L Zhao, J Wei, J Hu - Algebra Colloquium, 2018 - World Scientific
Gorenstein flat right R-modules. It is clear that every strongly Gorenstein flat module is Gorenstein
projective… According to [12], a right R-module C is said to be a cotorsion module if Ext1 …

How to construct Gorenstein projective modules relative to complete duality pairs over Morita rings

Y Ma, J Lü, H Li, J Hu - Journal of Algebra and Its Applications, 2023 - World Scientific
… In Section 4, we construct Gorenstein projective modules relative to the complete duality …
[22] LX Mao, Gorenstein flat modules and dimensions over formal triangular matrix rings, J. …

Strongly Gorenstein projective, injective and flat modules over formal triangular matrix rings

L Mao - Bulletin mathématique de la Société des Sciences …, 2020 - JSTOR
… In this paper, we shall characterize strongly Gorenstein projective, injective and flat modules
over a formal triangular matrix ring in a more general setting. Throughout this paper, all …

Acyclic complexes and Gorenstein rings

S Estrada, A Iacob, H Zolt - Algebra Colloquium, 2020 - World Scientific
flat and Gorenstein flat modules are equivalent with their counterparts for projective and
projectively coresolved Gorenstein flat modules. … Gorenstein homological algebra is the relative

Silting complexes and Gorenstein projective modules

N Gao, J Ma, C Zhang - arXiv preprint arXiv:2110.12161, 2021 - arxiv.org
… and study a class of modules in bijection with the relative rigid module over an algebra of …
Holm, On Gorenstein projective, injective and flat dimensions-a functorial description with …

Gorenstein homology and finiteness properties of local (co) homology

H Faridian - arXiv preprint arXiv:2010.03013, 2020 - arxiv.org
… on a special relative theory, the so-called Gorenstein homology. The main ingredients of
this relative theory are Gorenstein projective, Gorenstein injective, and Gorenstein flat modules

Remarks on Gorenstein weak injective and weak flat modules

T Zhao, Y Xu - Algebra Colloquium, 2020 - World Scientific
… all modules are Gorenstein weak injective. Moreover, we discuss the relation between the
weak cosyzygy and Gorenstein weak cosyzygy of a module, … the theory of relative homological …

Relative global Gorenstein dimensions

V Becerril - Journal of Algebra and Its Applications, 2022 - World Scientific
Gorenstein projective dimension of abelian category A. Moreover we prove in Proposition 3.9
that over a n-Gorenstein … R-modules, and by Flat(R) the class of all flat R-modules. The pair …

When do Foxby classes coincide with the classes of modules of finite Gorenstein dimensions?

D Bennis, JR Garcia Rozas, L Oyonarte - 2016 - projecteuclid.org
… In what follows we will often need the module C to meet some conditions relative to the
cancellation … Recall from [5] that a ring R is said to be left n-perfect if every flat left R-module has …