Model structures and relative Gorenstein flat modules and chain complexes

S Estrada, A Iacob, MA Pérez - Categorical, homological and …, 2020 - books.google.com
Gorenstein flat model structure on the category of complexes. We point out in Remark 3.3
that our method to get the model … Section 4 is devoted to comparing several model structures

Generalized Gorenstein modules

A Iacob - Algebra Colloquium, 2022 - World Scientific
… are the cycles of exact complexes of injective modules that stay exact when we … module A;
the Gorenstein AC-projective modules are the cycles of exact complexes of projective modules

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

R El Maaouy - arXiv e-prints, 2023 - researchgate.net
… a model structure such that the class of cofibrant objects coincides with the class GFn(R) of
all modules having Gorenstein … is a trivial model structure (in the sense that every module is a …

Duality pairs, generalized Gorenstein modules, and Ding injective envelopes

J Gillespie, A Iacob - Comptes …, 2022 - comptes-rendus.academie-sciences …
Gorenstein homological algebra to any given semi-complete duality pair D = (L ,A ). This
generalizes the homological theory of the AC-Gorenstein modules … Ding injective modules are …

Relative Gorenstein flat modules and Foxby classes and their model structures

D Bennis, RE Maaouy, JRG Rozas… - arXiv preprint arXiv …, 2022 - arxiv.org
module C, we introduce and study new concepts of relative Gorenstein cotorsion and cotorsion
modules… a unique hereditary abelian model structure on the category of left R-modules, in …

Chains of model structures arising from modules of finite Gorenstein dimension

N Gao, XS Lu, P Zhang - arXiv preprint arXiv:2403.05232, 2024 - arxiv.org
… (ie, not every module is a trivial object in the model structure), and not projective (ie, not every
module is a … Since all the hereditary abelian model structures in each chain have the same …

Homological dimension based on a class of Gorenstein flat modules

G Dalezios, I Emmanouil - Comptes …, 2023 - comptes-rendus.academie-sciences …
… , as the homotopy category of the exact model structure which … of Gorenstein flat modules by
PGF-modules and flat modules, … PGF-modules as the homotopy category of a Quillen model

Gorenstein and duality pair over triangular matrix rings

H Liu, R Zhu - arXiv preprint arXiv:2202.13148, 2022 - arxiv.org
… 3, we show that the homotopy category of each of model structures above on T-Mod admits
a … projectively coresolved Gorenstein flat, Ding injective and Gorenstein flat model structures. …

Gorenstein projective modules and recollements over triangular matrix rings

H Li, Y Zheng, J Hu, H Zhu - Communications in Algebra, 2020 - Taylor & Francis
modules with Gorenstein projective modules. In view of this, how to deal with the Gorenstein
… for Gorenstein projective T-modules over the triangular matrix ring T. We get the following: …

Flat model structures and Gorenstein objects in functor categories

Z Di, L Li, L Liang, Y Ma - Proceedings of the Royal Society of …, 2022 - cambridge.org
… We construct a flat model structure on the category Q, RMod of additive functors from a small
preadditive category Q satisfying certain conditions to the module category RMod over an …