[HTML][HTML] Gorenstein flat modules and dimensions over formal triangular matrix rings

L Mao - Journal of Pure and Applied Algebra, 2020 - Elsevier
Gorenstein flat modules over a triangular matrix ring T under the condition “T is a Gorenstein
ring, … The main objective of the present paper is to further study Gorenstein flat modules over …

Gorenstein model structures and generalized derived categories

J Gillespie, M Hovey - Proceedings of the Edinburgh Mathematical …, 2010 - cambridge.org
… There is also an intermediate module structure that we introduce in this paper, where the
cofibrant objects are Gorenstein flat modules and the fibrant objects are cotorsion …

AB-contexts and stability for Gorenstein flat modules with respect to semidualizing modules

S Sather-Wagstaff, T Sharif, D White - Algebras and Representation …, 2011 - Springer
… is to use cotorsion flat modules in order to further study the GC-flat modules, which are more
… -projective modules. Cotorsion flat modules have been successfully used to investigate flat

-Gorenstein projective,-Gorenstein injective and-Gorenstein flat modules

Z Zhang, X Zhu, X Yan - Chinese Annals of Mathematics, Series B, 2014 - Springer
Gorenstein projective modules and C-Gorenstein projective modules, we define the TC -Gorenstein
projective modules… the LC-Gorenstein injective and HC-Gorenstein flat modules. And …

[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]. …

Gorenstein flat covers of modules over Gorenstein rings

E Enochs, J Xu - Journal of Algebra, 1996 - Elsevier
… stein flat modules over a Gorenstein ring. These modules are a generalization of flat modules.
After … the properties of modules over a Gorenstein ring, we prove that every module over a …

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

J Gillespie - 2017 - projecteuclid.org
… , (while the flat analogs are relatively easy). For the … flat module is nothing more than a
Gorenstein flat module. Similarly, a chain complex X is Ding flat if and only if it is Gorenstein flat

Tate homology of modules of finite Gorenstein flat dimension

L Liang - Algebras and Representation Theory, 2013 - Springer
… R-module over a Gorenstein ring R is of finite Gorenstein flat dimension by [7, Theorem 12.3.1],
and hence admits a Tate flat … Absolute, relative, and Tate cohomology of modules of finite …

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

Model structures on modules over Ding-Chen rings

J Gillespie - 2010 - projecteuclid.org
… result involving a flat model structure on modules over a … flat modules. They are the obvious
generalizations of Gorenstien injective, Gorenstein projective and Gorenstein flat modules to …