[PDF][PDF] Group Rings of Finite Gorenstein Homological Dimensions
X Yueming - 2023 - easychair.org
Let K be a field and let G be a group. In the study of group ring K [G], there is the well-known
Serre's theorem which consider the finiteness of global dimension of group ring. In the …
Serre's theorem which consider the finiteness of global dimension of group ring. In the …
Five theorems on Gorenstein global dimensions
L Winther Christensen, S Estrada… - arXiv e …, 2022 - ui.adsabs.harvard.edu
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 …
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 …
Weak dimensions and Gorenstein weak dimensions of group rings
Y Xiang - Czechoslovak Mathematical Journal, 2021 - Springer
Let K be a field, and let G be a group. In the present paper, we investigate when the group
ring K [G] has finite weak dimension and finite Gorenstein weak dimension. We give some …
ring K [G] has finite weak dimension and finite Gorenstein weak dimension. We give some …
[PDF][PDF] Generalized Gorenstein dimension over group rings
A Bahlekeh, T Kakaie - Journal of Algebraic Systems, 2017 - jas.shahroodut.ac.ir
Let $(R,\m) $ be a commutative noetherian local ring and let $\Gamma $ be a finite group. It
is proved that if $ R $ admits a dualizing module, then the group ring $ R\ga $ has a …
is proved that if $ R $ admits a dualizing module, then the group ring $ R\ga $ has a …
Projectively coresolved Gorenstein flat dimension of groups
DD Stergiopoulou - Journal of Algebra, 2024 - Elsevier
In this paper, we introduce and study the projectively coresolved Gorenstein flat dimension
of a group G over a commutative ring R and we prove that this dimension enjoys all the …
of a group G over a commutative ring R and we prove that this dimension enjoys all the …
On the Gorenstein cohomological dimension of group extensions
I Emmanouil, O Talelli - Journal of Algebra, 2022 - Elsevier
The Gorenstein cohomological dimension is defined for any group G and coincides with the
virtual cohomological dimension vcd G, whenever the latter is defined and finite. Unlike the …
virtual cohomological dimension vcd G, whenever the latter is defined and finite. Unlike the …
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 …
over a commutative ring of finite weak Gorenstein global dimension and provide good …
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 …
be the Gorenstein flat dimension of the coefficient ring $ R $, which is considered as an …
Contemporary Mathematics Volume 785, 2023
LW Christensen, S Estrada… - Algebra and Coding …, 2023 - books.google.com
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 …