The MCM-approximation of the trivial module over a category algebra
Representation Theory
2016-01-13 v1
Abstract
For a finite free EI category, we construct an explicit module over its category algebra. If in addition the category is projective over the ground field, the constructed module is Gorenstein-projective and is a maximal Cohen-Macaulay approximation of the trivial module. We give conditions on when the trivial module is Gorenstein-projective.
Keywords
Cite
@article{arxiv.1601.02737,
title = {The MCM-approximation of the trivial module over a category algebra},
author = {Ren Wang},
journal= {arXiv preprint arXiv:1601.02737},
year = {2016}
}