Global Dimensions of Some Artinian Algebras
Rings and Algebras
2012-11-06 v2 K-Theory and Homology
Abstract
In this article we obtain lower and upper bounds for global dimensions of a class of artinian algebras in terms of global dimensions of a finite subset of their artinian subalgebras. Finding these bounds for the global dimension of an artinian algebra is realized via an explicit algorithm we develop. This algorithm is based on a directed graph (not the Auslander-Reiten quiver) we construct, and it allows us to decide whether an artinian algebra has finite global dimension in good number of cases.
Keywords
Cite
@article{arxiv.1206.3726,
title = {Global Dimensions of Some Artinian Algebras},
author = {Müge Kanuni and Atabey Kaygun},
journal= {arXiv preprint arXiv:1206.3726},
year = {2012}
}