Model structures and relative Gorenstein flat modules and chain complexes

S Estrada, A Iacob, MA Pérez - Categorical, homological and …, 2020 - books.google.com
A recent result by J. Šaroch and J. Šťovíček asserts that there is a unique abelian model
structure on the category of left R-modules, for any associative ring R with identity, whose …

Stability of Gorenstein flat modules

S Bouchiba, M Khaloui - Glasgow Mathematical Journal, 2012 - cambridge.org
Sather-Wagstaff et al. proved in [8](S. Sather-Wagsta, T. Sharif and D. White, Stability of
Gorenstein categories, J. Lond. Math. Soc.(2), 77 (2)(2008), 481–502) that iterating the …

Gorenstein flat and projective (pre) covers

S Estrada, A Iacob, S Odabasi - arXiv preprint arXiv:1508.04173, 2015 - arxiv.org
arXiv:1508.04173v1 [math.AC] 17 Aug 2015 Page 1 arXiv:1508.04173v1 [math.AC] 17 Aug
2015 GORENSTEIN FLAT AND PROJECTIVE (PRE)COVERS S. ESTRADA, A. IACOB, S …

The stable category of Gorenstein flat sheaves on a Noetherian scheme

L Christensen, S Estrada, P Thompson - Proceedings of the American …, 2021 - ams.org
For a semiseparated noetherian scheme, we show that the category of cotorsion Gorenstein
flat quasi-coherent sheaves is Frobenius and a natural non-affine analogue of the category …

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 …

[HTML][HTML] 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 …

[图书][B] Gorenstein homological algebra

A Iacob - 2018 - taylorfrancis.com
Gorenstein homological algebra is an important area of mathematics, with applications in
commutative and noncommutative algebra, model category theory, representation theory …

n-Cotorsion pairs

M Huerta, O Mendoza, MA Pérez - Journal of Pure and Applied Algebra, 2021 - Elsevier
Motivated by some properties satisfied by Gorenstein projective and Gorenstein injective
modules over an Iwanaga-Gorenstein ring, we present the concept of left and right n …

Homology theories for complexes based on flats

L Liang - Glasgow Mathematical Journal, 2021 - cambridge.org
In this paper, we introduce and study the Gorenstein relative homology theory for
unbounded complexes of modules over arbitrary associative rings, which is defined using …

Gorenstein modules and Gorenstein model structures

A Xu - Glasgow Mathematical Journal, 2017 - cambridge.org
Given a complete hereditary cotorsion pair-Gorenstein projective modules and study its
stability properties. As applications, we first get two model structures related to Gorenstein …