Finiteness properties and homological dimensions of skew group rings

V Gubitosi, R Parra - arXiv preprint arXiv:2207.10599, 2022 - arxiv.org
Let $ G $ be a finite group acting on a ring $ R $ and $ H $ a subgroup of $ G $. In this paper
we compare some homological dimensions over the skew group rings $ RG $ and $ RH …

Homological dimensions of skew group rings

Y Xiang - Algebra Colloquium, 2020 - World Scientific
Let R be a ring and let H be a subgroup of a finite group G. We consider the weak global
dimension, cotorsion dimension and weak Gorenstein global dimension of the skew group …

Homological dimension of skew group rings and crossed products

Z Yi - Journal of algebra, 1994 - Elsevier
In this paper we study the homological dimension of skew group rings and crossed products.
A sufficient condition for R∗ G, a crossed product, to have finite right global dimension is …

Gorenstein homological dimension and some invariants of groups

W Ren, G Yang - arXiv preprint arXiv:2211.02221, 2022 - arxiv.org
For any group $ G $, the Gorenstein homological dimension ${\rm Ghd} _RG $ is defined to
be the Gorenstein flat dimension of the coefficient ring $ R $, which is considered as an …

On Gorenstein homological dimension of groups

Y Luo, W Ren - arXiv preprint arXiv:2205.15542, 2022 - arxiv.org
Let $ G $ be a group and $ R $ be a ring. We define the Gorenstein homological dimension
of $ G $ over $ R $, denoted by ${\rm Ghd} _ {R} G $, as the Gorenstein flat dimension of …

[图书][B] Homological Properties of Noetherian Rings and Noetherian Ring Extensions

Z Yi - 1993 - search.proquest.com
This thesis is devoted to the study of the homological dimension, homological homogeneity
and injective homogeneity of the skew group rings, crossed products, group graded rings …

Homological dimensions of skew group algebras

Y Xiang, L Ouyang - Journal of Algebra and Its Applications, 2019 - World Scientific
Let Λ be a finite dimensional algebra over a field k and H a subgroup of a finite group G. In
this paper, we consider the Gorenstein global dimensions and representation dimensions of …

Relative homological groups over coherent rings

L Mao - Quaestiones Mathematicae, 2012 - Taylor & Francis
Relative homological groups over coherent rings Page 1 Quaestiones Mathematicae 35(2012),
331–352. c⃝ 2012 NISC Pty Ltd, www.nisc.co.za RELATIVE HOMOLOGICAL GROUPS OVER …

Finiteness criteria for Gorenstein homological dimension and some invariants of groups

I Kaperonis, DD Stergiopoulou - arXiv preprint arXiv:2311.02768, 2023 - arxiv.org
In this paper, we study finiteness criteria for the Gorenstein homological dimension of groups
over a commutative ring of finite weak Gorenstein global dimension and provide good …

On the separability of the partial skew groupoid ring

D Bagio, H Pinedo - São Paulo Journal of Mathematical Sciences, 2017 - Springer
On the separability of the partial skew groupoid ring | SpringerLink Skip to main content
Advertisement SpringerLink Log in Menu Find a journal Publish with us Search Cart 1.Home …