A construction of Gorenstein projective tau-tilting modules
ZW Li, X Zhang - arXiv preprint arXiv:2109.11758, 2021 - arxiv.org
We give a construction of Gorenstein projective $\tau $-tilting modules in terms of tensor
products of modules. As a consequence, we give a class of non-self-injective algebras …
products of modules. As a consequence, we give a class of non-self-injective algebras …
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 …
to characterize Gorenstein projective, injective and flat modules over trivial ring extensions …
Gorenstein silting modules and Gorenstein projective modules
N Gao, J Ma, CH Zhang - arXiv preprint arXiv:2209.00520, 2022 - arxiv.org
(Partial) Gorenstein silting modules are introduced and investigated. It is shown that for finite
dimensional algebras of finite CM-type, partial Gorenstein silting modules are in bijection …
dimensional algebras of finite CM-type, partial Gorenstein silting modules are in bijection …
Monic modules and semi-Gorenstein-projective modules
P Zhang - Journal of Pure and Applied Algebra, 2023 - Elsevier
The category gp (Λ) of Gorenstein-projective modules over tensor algebra Λ= A⊗ k B can be
described as the monomorphism category mon (B, gp (A)) of B over gp (A). In particular …
described as the monomorphism category mon (B, gp (A)) of B over gp (A). In particular …
Applications of Gorenstein projective -rigid modules
H Liu, X Zhang, Y Zhang - arXiv preprint arXiv:2312.15586, 2023 - arxiv.org
We first introduce the notion of $ CM $-$\tau $-tilting free algebras as the generalization of $
CM $-free algebras and show the homological properties of $ CM $-$\tau $-tilting free …
CM $-free algebras and show the homological properties of $ CM $-$\tau $-tilting free …
Silting complexes and Gorenstein projective modules
N Gao, J Ma, C Zhang - arXiv preprint arXiv:2110.12161, 2021 - arxiv.org
We introduce Gorenstein silting modules (resp. complexes), and give the relation with the
usual silting modules (resp. complexes). We show that Gorenstein silting modules are the …
usual silting modules (resp. complexes). We show that Gorenstein silting modules are the …
A bijection theorem for Gorenstein projective -tilting modules
Z Xie, X Zhang - Journal of Algebra and Its Applications, 2024 - World Scientific
We introduce the notions of Gorenstein projective τ-rigid modules, Gorenstein projective
support τ-tilting modules and Gorenstein torsion pairs and give a Gorenstein analog to …
support τ-tilting modules and Gorenstein torsion pairs and give a Gorenstein analog to …