Gorenstein weak global dimension is symmetric
LW Christensen, S Estrada… - Mathematische …, 2021 - Wiley Online Library
We study the Gorenstein weak global dimension of associative rings and its relation to the
Gorenstein global dimension. In particular, we prove the conjecture that the Gorenstein …
Gorenstein global dimension. In particular, we prove the conjecture that the Gorenstein …
Gorenstein homological invariant properties under Frobenius extensions
Z Zhao - Science China Mathematics, 2019 - Springer
We prove that for a Frobenius extension, a module over the extension ring is Gorenstein
projective if and only if its underlying module over the base ring is Gorenstein projective. For …
projective if and only if its underlying module over the base ring is Gorenstein projective. For …
Modules of finite Gorenstein flat dimension and approximations
I Emmanouil - Mathematische Nachrichten, 2024 - Wiley Online Library
We study approximations of modules of finite Gorenstein flat dimension by (projectively
coresolved) Gorenstein flat modules and modules of finite flat dimension. These …
coresolved) Gorenstein flat modules and modules of finite flat dimension. These …
Some results on Gorenstein (weak) global dimension of rings
W Li, L Yan, D Zhang - Communications in Algebra, 2023 - Taylor & Francis
The principle “Every result in classical homological algebra should have a counterpart in
Gorenstein homological algebra” was given by Henrik Holm. We give support to the …
Gorenstein homological algebra” was given by Henrik Holm. We give support to the …
Five theorems on Gorenstein global dimensions
LW Christensen, S Estrada, P Thompson - arXiv preprint arXiv:2203.12375, 2022 - arxiv.org
We expand on two existing characterizations of rings of Gorenstein (weak) global dimension
zero and give two new characterizations of rings of finite Gorenstein (weak) global …
zero and give two new characterizations of rings of finite Gorenstein (weak) global …
[PDF][PDF] Finiteness aspects of Gorenstein homological dimensions
S Bouchiba - Colloq. Math, 2013 - academia.edu
We present an alternative way of measuring the Gorenstein projective (resp., injective)
dimension of modules via a new type of complete projective (resp., injective) resolutions. As …
dimension of modules via a new type of complete projective (resp., injective) resolutions. As …
On GI-injective modules
Z Gao - Communications in Algebra, 2012 - Taylor & Francis
Let R be a ring. A left R-module M is called GI-injective if for any Gorenstein injective left R-
module N. It is shown that a left R-module M over any ring R is GI-injective if and only if M is …
module N. It is shown that a left R-module M over any ring R is GI-injective if and only if M is …
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 …
stability properties. As applications, we first get two model structures related to Gorenstein …
Relative weak global Gorenstein dimension, AB-contexts and model structures
In this paper we introduce and study the weak Gorenstein global dimension of a ring $ R $
with respect to a left $ R $-module $ C $. We provide several characterizations of when this …
with respect to a left $ R $-module $ C $. We provide several characterizations of when this …
[HTML][HTML] Gorenstein 平坦模和右拟Frobenius 扩张
孙菊香 - Pure Mathematics, 2022 - hanspub.org
作为环的Frobenius 扩张的非平凡推广, B. Muller 引入了环的右(左) 拟Frobenius 扩张.
本文通过建立凝聚环和它的右拟Frobenius 扩张的Gorenstein 平坦模的联系 …
本文通过建立凝聚环和它的右拟Frobenius 扩张的Gorenstein 平坦模的联系 …