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 …
were defined in [Citation7] as a relative version of the Gorenstein flat modules. They are the …

Modules of Finite Gorenstein flat dimension and approximations

I Emmanouil - Mathematische Nachrichten, 2024 - Wiley Online Library
… These involve the concept of a Hovey triple in exact additive categories, the basics on
Gorenstein flat and PGF-modules, and the notion of relative injectivity of linear maps with respect …

Complexes of Gorenstein flat modules and Gorenstein cotorsion modules

Z Wang, Z Liu - Communications in Algebra®, 2010 - Taylor & Francis
… Since F is a Gorenstein flat module, we obtain that is a strongly Gorenstein flat complex by
the definition. From the hypothesis, the sequence (*) splits in the category of complexes, so …

Gorenstein flat modules relative to injectively resolving subcategories

Z Gao, W Wu - Journal of Algebra and Its Applications, 2022 - World Scientific
… Let E be an injectively resolving subcategory of left R-modules. We introduce and study E-Gorenstein
flat modules as a common generalization of some known modules such as …

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. …

Relative Gorenstein n-weak injective and n-weak flat modules

M Amini, H Amzil, D Bennis - Communications in Algebra, 2023 - Taylor & Francis
… In this paper, we introduce and study the notions of Gorenstein n-weak injective and Gorenstein
n-weak flat modules by using the notion of special super finitely presented modules. On …

[HTML][HTML] Gorenstein dimension of modules over homomorphisms

LW Christensen, S Iyengar - Journal of Pure and Applied Algebra, 2007 - Elsevier
… In preparation, we recall a result about colimits of Gorenstein flat modules: … of Gorenstein
flat modules is Gorenstein flat, so it remains to see that the modules V − 1 M are Gorenstein flat. …

STRONGLY -GORENSTEIN INJECTIVE AND FLAT MODULES

Z Gao, Y Zhong - Rocky Mountain Journal of Mathematics, 2024 - projecteuclid.org
Gorenstein projective (resp. injective) module [4, Theorem 2.7], and every Gorenstein flat
module is a direct summand of a strongly Gorenstein flat module [4, Theorem 3.5]. Later, Yang …

[PDF][PDF] Model structures, n-Gorenstein flat modules and PGF dimensions

R El Maaouy - arXiv e-prints, 2023 - researchgate.net
… The following characterization of n-Gorenstein flat modules is a key result to show many
results in this section. The case n = 0 is due to Šaroch and Štovıcek [33, Theorem 4.11]. …

Stability of Gorenstein classes of modules

S Bouchiba - Algebra Colloquium, 2013 - World Scientific
… Next, we announce the first change of rings theorem relative to the Gorenstein injective
dimension. It is noteworthy, in this regard, that the first change theorem for injective dimension …