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 …

On Ding injective, Ding projective and Ding flat modules and complexes

J Gillespie - 2017 - projecteuclid.org
… (P, Q) is also exact for any projective module Q. In general, such complexes are called totally
… the modules appearing as a cycle ZnP of such a complex are called Gorenstein projective. …

[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

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, …

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, …

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

Gorenstein modules and Gorenstein model structures

A Xu - Glasgow Mathematical Journal, 2017 - cambridge.org
… )-Gorenstein projective modules and study its stability properties. As applications, we first get
two model structures related to Gorenstein flat modules … the modules of Gorenstein injective

[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 …

Notes on Gorenstein Flat Modules

Y Yang, X Yan - Bulletin of the Iranian Mathematical Society, 2019 - Springer
… question when Gorenstein flat modules are Gorenstein projective. … Gorenstein projective
modules and Gorenstein flat modules by employing strict Mittag–Leffler conditions and modules. …

[HTML][HTML] Stability of Gorenstein modules with respect to a semidualizing module

Z WANG, S GUO - 数学杂志, 2017 - sxzz.whu.edu.cn
… and Gorenstein C-flat modules). With the method of … that Gorenstein C-projective (resp.,
C-injective, C-flat) modules have … that Gorenstein projective (resp., injective, flat) modules have a …