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

L Mao - Bulletin mathématique de la Société des Sciences …, 2020 - JSTOR
… Later, Bennis and Mahdou studied a particular case of Gorenstein projective, injective
and flat modules, which they called respectively, strongly Gorenstein projective, injective …

STRONGLY -GORENSTEIN INJECTIVE AND FLAT MODULES

Z Gao, Y Zhong - Rocky Mountain Journal of Mathematics, 2024 - projecteuclid.org
… for arbitrary modules over a general ring. It has been shown that Gorenstein projective,
injective and flat modules share many nice properties of projective, injective and flat modules, …

Projectively coresolved Gorenstein flat and ding projective modules

A Iacob - Communications in Algebra, 2020 - Taylor & Francis
… with any injective module. We use G F to denote the class of Gorenstein flat modules. It is …
certain classes of rings any Gorenstein projective module is also Gorenstein flat. For example, …

Some Remarks on Gorenstein Projective Precovers

V Becerril - arXiv preprint arXiv:2403.10727, 2024 - arxiv.org
… are special precovering, among them including the GorensteinGorenstein flat PGF(R)
fulfils the same feature. We also introduce a new class of Gorenstein projective R-modules

[PDF][PDF] Generalized Gorenstein projective and flat modules

A Iacob - 2020 - northeastern.edu
module G ∈ Mod(R) is Gorenstein projective if there is an exact complex of projective modules
… Thus, if GFFIn denotes the class of Gorenstein FIn-flat modules, we have that GFFIn is …

[HTML][HTML] Gorenstein flat modules and dimensions over formal triangular matrix rings

L Mao - Journal of Pure and Applied Algebra, 2020 - Elsevier
… The main objective of the present paper is to further study Gorenstein flat modules over …
flat dimension, U A have finite flat or injective dimension, M = ( M 1 M 2 ) φ M be a left T-module

Generalized Gorenstein modules

A Iacob - Algebra Colloquium, 2022 - World Scientific
… We also consider the dual notion, that of Gorenstein FPn-projective modules. We use
FFn to denote the class of FPn-flat modules. We say that a module M is Gorenstein FPn-projective

The cotorsion pair generated by the Gorenstein projective modules and -pure-injective modules

M Cortés-Izurdiaga, J Šaroch - arXiv preprint arXiv:2104.08602, 2021 - arxiv.org
… if GProj is the class of all Gorenstein projective modules over a ring R, … projective
modules are λ-pure-injective for some infinite regular cardinal λ (in particular, if R is right Σ-pure-injective

Homological dimension based on a class of Gorenstein flat modules

G Dalezios, I Emmanouil - Comptes …, 2023 - comptes-rendus.academie-sciences …
… case of modules of finite Gorenstein projective dimension. In … category of PGF-modules
modulo projective modules, as the … of Gorenstein flat modules by PGF-modules and flat modules, …

GORENSTEIN -PROJECTIVITY WITH RESPECT TO A TILTING MODULE

M Amini - International Electronic Journal of Algebra, 2020 - dergipark.org.tr
… Let T be a tilting module. In this paper, Gorenstein π[T]-projective modules are introduced
and … of rings over which all modules are Gorenstein π[T]-projective are given. For instance, on …