-Gorenstein flat homological dimensions

V Becerril - arXiv preprint arXiv:2203.09012, 2022 - arxiv.org
… all (L, A)-Gorenstein projective R-modules are (L, A)-Gorenstein flat, for now we will prove
… Given a class A ⊆ Mod(Rop), we define the left weak Gorenstein global dimension relative

Products of flat modules and global dimension relative to ℱ-Mittag-Leffler modules

M Cortés-Izurdiaga - Proceedings of the American Mathematical Society, 2016 - ams.org
Gorenstein regular rings. A (non-necessarily commutative with unit) ring R is said to be right
Gorenstein regular if the category of right R-modules is a Gorenstein … right global Gorenstein

On stability of F-Gorenstein flat categories

J Hu, A Xu - Algebra Colloquium, 2016 - World Scientific
… In this paper, we get some properties of F-Gorenstein flat R-modules and … -Gorenstein flat
complexes possesses some kind of stability similar to the category of F-Gorenstein flat modules

[PDF][PDF] HOMOLOGICAL ASPECTS OF GORENSTEIN FLAT MODULES RELATIVE TO DUALITY PAIRS

V BECERRIL, MA PÉREZ - arXiv preprint arXiv:2210.11014, 2022 - researchgate.net
… properties and characterizations of its (absolute) Gorenstein flat counterpart (for instance, it
can … relative Gorenstein flat modules and certain Gorenstein injective modules relative to A. …

Finiteness criteria for Gorenstein flat dimension and stability

I Kaperonis, DD Stergiopoulou - Communications in Algebra, 2024 - Taylor & Francis
… projective module by Enochs and Jenda [Citation9, Citation10], who … of Gorenstein injective
and Gorenstein flat modules. The relative homological dimensions based on these modules

Gorenstein orthogonal classes and Gorenstein weak tilting modules

L Mao - Communications in Algebra, 2021 - Taylor & Francis
… of Gorenstein homological algebra-a particular relative (co)… projective, Gorenstein injective
and Gorenstein flat modules … A left R-module M is called Gorenstein projective if there is an …

Some Remarks on Gorenstein Projective Precovers

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

Relative Gorenstein rings and duality pairs

J Wang, Z Di - Journal of Algebra and Its Applications, 2020 - World Scientific
Gorenstein (L, A)-injective and Gorenstein injective) modules… of Gorenstein projective
model structure and Gorenstein … 5.3, we establish, for any flat-typed (L, A)-Gorenstein ring, a tri…

Duality pairs, generalized Gorenstein modules, and Ding injective envelopes

J Gillespie, A Iacob - Comptes …, 2022 - comptes-rendus.academie-sciences …
… We attach a relative theory of Gorenstein homological algebra to any given semi-complete
duality … So these are like the usual Gorenstein flat modules we know from [6], but defined via a …

Relative Gorenstein flat modules and dimension

D Bennis, R El Maaouy, JRG Rozas… - Communications in …, 2022 - Taylor & Francis
… and of relative Gorenstein injective modules, and we compare the corresponding … a
new concept of relative flat module on which to construct relative Gorenstein flat modules. …