The role of w-tilting modules in relative Gorenstein (co) homology

D Bennis, E Duarte, JRG Rozas, L Oyonarte - Open Mathematics, 2021 - degruyter.com
… We investigate Gorenstein flat modules relative to a not necessarily semidualizing module C
… We find the conditions for the class of G C -flat modules to be covering (Corollary 5.7) and to …

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 …

-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

On Gorenstein flat dimension

S Bouchiba - Journal of Algebra and its Applications, 2015 - World Scientific
… As, by hypotheses, GF(R) is projectively resolving and G0, G are Gorenstein flat modules,
we get via the middle column that E is a Gorenstein flat module. Now, applying Theorem 2 to …

Rings over which the class of Gorenstein flat modules is closed under extensions

D Bennis - Communications in Algebra, 2009 - Taylor & Francis
… the characterization of Gorenstein flat left modules (then of Gorenstein flat dimension of left …
that the class of all Gorenstein flat left R-modules and the class of all flat left R-modules agree.…

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 …

The existence of Gorenstein flat covers

EE Enochs, OMG Jenda, JA López-Ramos - Mathematica Scandinavica, 2004 - JSTOR
… Using the result mentioned above we show that the clas of Gorenstein flat (left) modules
along … Gorenstein flat modules (see 3 for the definition) and obtain a relative version of the "flat

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 …

[PDF][PDF] Generalized Gorenstein projective and flat modules

A Iacob - 2020 - northeastern.edu
… Model structures and relative Gorenstein flat modules and chain complexes, chapter in
Contemporary Mathematics, Volume 751, Print ISBN 978-1-4704-4368-9, Electronic ISBN: 978-1-…

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. …