Gorenstein triangular matrix rings and category algebras
Representation Theory
2014-12-30 v1
Abstract
We give conditions on when a triangular matrix ring is Gorenstein of a given selfinjective dimension. We apply the result to the category algebra of a finite EI category. In particular, we prove that for a finite EI category, its category algebra is 1-Gorenstein if and only if the given category is free and projective.
Cite
@article{arxiv.1412.8278,
title = {Gorenstein triangular matrix rings and category algebras},
author = {Ren Wang},
journal= {arXiv preprint arXiv:1412.8278},
year = {2014}
}
Comments
17 pages