Weak dimensions and Gorenstein weak dimensions of group rings

Yueming Xiang

Czechoslovak Mathematical Journal (2021)

  • Volume: 71, Issue: 3, page 803-816
  • ISSN: 0011-4642

Abstract

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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 analogous versions of Serre’s theorem for the weak dimension and the Gorenstein weak dimension.

How to cite

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Xiang, Yueming. "Weak dimensions and Gorenstein weak dimensions of group rings." Czechoslovak Mathematical Journal 71.3 (2021): 803-816. <http://eudml.org/doc/297874>.

@article{Xiang2021,
abstract = {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 analogous versions of Serre’s theorem for the weak dimension and the Gorenstein weak dimension.},
author = {Xiang, Yueming},
journal = {Czechoslovak Mathematical Journal},
keywords = {weak dimension; Gorenstein weak dimension; principal module; group ring},
language = {eng},
number = {3},
pages = {803-816},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Weak dimensions and Gorenstein weak dimensions of group rings},
url = {http://eudml.org/doc/297874},
volume = {71},
year = {2021},
}

TY - JOUR
AU - Xiang, Yueming
TI - Weak dimensions and Gorenstein weak dimensions of group rings
JO - Czechoslovak Mathematical Journal
PY - 2021
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 71
IS - 3
SP - 803
EP - 816
AB - 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 analogous versions of Serre’s theorem for the weak dimension and the Gorenstein weak dimension.
LA - eng
KW - weak dimension; Gorenstein weak dimension; principal module; group ring
UR - http://eudml.org/doc/297874
ER -

References

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