Finiteness criteria for Gorenstein flat dimension and stability
I Kaperonis, DD Stergiopoulou - Communications in Algebra, 2024 - Taylor & Francis
Projectively coresolved Gorenstein flat modules were introduced recently by Saroch and
Stovicek and were shown to be Gorenstein projective. While the relation between …
Stovicek and were shown to be Gorenstein projective. While the relation between …
Gorenstein modules and dimension over large families of infinite groups
DD Stergiopoulou - arXiv preprint arXiv:2307.01161, 2023 - arxiv.org
Projectively coresolved Gorenstein flat modules were introduced by Saroch and Stovicek
and were shown to be Gorenstein projective. We give characterizations of Gorenstein …
and were shown to be Gorenstein projective. We give characterizations of Gorenstein …
Stability of Gorenstein flat categories
G Yang, Z Liu - Glasgow Mathematical Journal, 2012 - cambridge.org
A left R-module M is called two-degree Gorenstein flat if there exists an exact sequence of
Gorenstein flat left R-modules⋅⋅⋅→ G2→ G1→ G0→ G− 1→ G− 2→⋅⋅⋅ such that M≅ Ker …
Gorenstein flat left R-modules⋅⋅⋅→ G2→ G1→ G0→ G− 1→ G− 2→⋅⋅⋅ such that M≅ Ker …
On Gorenstein flat dimension
S Bouchiba - Journal of Algebra and its Applications, 2015 - World Scientific
The theory of Gorenstein flat dimension is not complete since it is not yet known whether the
category 𝒢ℱ (R) of Gorenstein flat modules over a ring R is projectively resolving or not …
category 𝒢ℱ (R) of Gorenstein flat modules over a ring R is projectively resolving or not …
Gorenstein flat modules with respect to duality pairs
Z Wang, G Yang, R Zhu - Communications in Algebra, 2019 - Taylor & Francis
Let X be a class of left R-modules, Y be a class of right R-modules. In this article, we
introduce and study Gorenstein (X, Y)-flat modules as a common generalization of some …
introduce and study Gorenstein (X, Y)-flat modules as a common generalization of some …
On (weak) Gorenstein global dimensions
N Mahdou, M Tamekkante - Acta Mathematica Universitatis …, 2017 - iam.fmph.uniba.sk
In this note, we characterize the (weak) Gorenstein global dimension for arbitrary associative
rings. Also, we extend the well-known Hilbert's syzygy Theorem to the weak Gorenstein …
rings. Also, we extend the well-known Hilbert's syzygy Theorem to the weak Gorenstein …
Stability of strongly Gorenstein flat modules
Z Wang, Z Liu - Vietnam Journal of Mathematics, 2014 - Springer
Abstract A left R-module M is called two-degree strongly Gorenstein flat if there exists an
exact sequence⋯⟶ D 1⟶ D 0⟶ D− 1⟶ D− 2⟶⋯ of strongly Gorenstein flat left R-modules …
exact sequence⋯⟶ D 1⟶ D 0⟶ D− 1⟶ D− 2⟶⋯ of strongly Gorenstein flat left R-modules …
[PDF][PDF] Stability of Gorenstein FI-flat modules
In this paper, we introduce the concepts of Gorenstein FI-injective and Gorenstein FI-flat
modules and we are concerned with the stability of the class of Gorenstein FI-flat modules …
modules and we are concerned with the stability of the class of Gorenstein FI-flat modules …
Stability of projectively coresolved Gorenstein flat modules
DD Stergiopoulou - arXiv preprint arXiv:2210.16816, 2022 - arxiv.org
arXiv:2210.16816v4 [math.AC] 6 Aug 2023 Page 1 arXiv:2210.16816v4 [math.AC] 6 Aug 2023
STABILITY OF PROJECTIVELY CORESOLVED GORENSTEIN FLAT MODULES …
STABILITY OF PROJECTIVELY CORESOLVED GORENSTEIN FLAT MODULES …
[PDF][PDF] Strongly n-projectively coresolved Gorenstein flat modules
DD STERGIOPOULOU - arXiv preprint arXiv:2210.16816, 2022 - users.uoa.gr
This paper introduces the notion of strongly n-projectively coresolved Gorenstein flat
modules (or strongly n-PGF modules, for short), where n is a nonnegative integer. Using this …
modules (or strongly n-PGF modules, for short), where n is a nonnegative integer. Using this …