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, …

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, …

[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 …

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

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 …

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

L Mao - Journal of Pure and Applied Algebra, 2020 - Elsevier
… “T is a Gorenstein ring, U B and U A are finitely generated and have finite projective dimensions”.
The main objective of the present paper is to further study Gorenstein flat modules over …

Gorenstein projective modules and recollements over triangular matrix rings

H Li, Y Zheng, J Hu, H Zhu - Communications in Algebra, 2020 - Taylor & Francis
Gorenstein projective modules over T. In particular, we refine a result of Enochs, Cortés-Izurdiaga,
and Torrecillas [Gorenstein … complexes with finite Gorenstein projective dimension. As …

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
… all Gorenstein projective modules over a ring R, then GP = (GProj, GProj⊥) is a cotorsion
pair. Moreover, GP is complete when all projective modules … of the projective modules. On the …

The role of w-tilting modules in relative Gorenstein (co) homology

D Bennis, E Duarte, JRG Rozas, L Oyonarte - Open Mathematics, 2021 - degruyter.com
… We investigate Gorenstein flat modules relative to a not necessarily semidualizing module C
… We find the conditions for the class of G C -flat modules to be covering (Corollary 5.7) and to …

Model structures and relative Gorenstein flat modules and chain complexes

S Estrada, A Iacob, MA Pérez - Categorical, homological and …, 2020 - books.google.com
… cotorsion) modules. In this paper, we generalise this result to a certain … of Gorenstein flat
modules, which we call Gorenstein B-flat modules, where B is a class of right R-modules. Using …