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 …

[PDF][PDF] Gorenstein flat dimension with group ring coefficients

W Ren, G Yang - arXiv preprint arXiv:2211.02221, 2022 - researchgate.net
For any group G and any commutative ring R, the Gorenstein homological dimension
GhdRG, defined as the Gorenstein flat dimension of the trivial RG-module R, is …