All modules have Gorenstein flat precovers

G Yang, L Liang - Communications in Algebra, 2014 - Taylor & Francis
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Indecomposable pure-injective objects in stable categories of Gorenstein-projective modules over Gorenstein orders

T Nakamura - arXiv preprint arXiv:2209.15630, 2022 - arxiv.org
We give a result of Auslander-Ringel-Tachikawa type for Gorenstein-projective modules
over a complete Gorenstein order. In particular, we prove that a complete Gorenstein order …

Recollements induced by monomorphism categories

Z Wang, Z Liu - Journal of Algebra, 2022 - Elsevier
Let R be any associative ring, na positive integer and X a full subcategory of the category of
R-modules. The monomorphism category S n (X) of X consists of all the objects (X i, φ i) …

[PDF][PDF] On Gorenstein weak injective modules

T ZHAO, Y XU - arXiv preprint arXiv:1405.0648, 2014 - Citeseer
In this paper, we introduce the notion of Gorenstein weak injective modules in terms of weak
injective modules and characterize rings over which all modules are Gorenstein weak …

The tensor product of Gorenstein-projective modules over category algebras

R Wang - Communications in Algebra, 2018 - Taylor & Francis
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[HTML][HTML] Separated monic representations I: Gorenstein-projective modules

XH Luo, P Zhang - Journal of Algebra, 2017 - Elsevier
For a finite acyclic quiver Q, an ideal I of a path algebra kQ generated by monomial relations,
and a finite-dimensional k-algebra A, we introduce the separated monic representations of a …

Gorenstein projective, injective and flat modules over trivial ring extensions

L Mao - arXiv preprint arXiv:2305.15656, 2023 - arxiv.org
We introduce the concepts of generalized compatible and cocompatible bimodules in order
to characterize Gorenstein projective, injective and flat modules over trivial ring extensions …

Stability of Gorenstein X-flat modules

C Selvaraj, A Umamaheswaran - Lobachevskii Journal of Mathematics, 2016 - Springer
In this paper we introduce the notion of Gorenstein X-flat R-module and study a kind of
stability of the class of Gorenstein X-flat R-modules. A ring R is called right GXF-closed if the …

Gorenstein projective modules via total complexes

Q Guo - Communications in Algebra, 2023 - Taylor & Francis
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Special precovered categories of Gorenstein categories

T Zhao, Z Huang - Science China Mathematics, 2019 - Springer
Let A be an abelian category and P (A) be the subcategory of A consisting of projective
objects. Let C be a full, additive and self-orthogonal subcategory of A with P (A) a generator …