Hyperbolicity of Semigroup Algebras II
Rings and Algebras
2008-10-28 v1
Abstract
In 1996 Jespers and Wang classified finite semigroups whose integral semigroup ring has finitely many units. In a recent paper, Iwaki-Juriaans-Souza Filho continued this line of research by partially classifying the finite semigroups whose rational semigroup algebra %over a field of characteristic zero, contains a -order with hyperbolic unit group. In this paper we complete this classification by handling the case in which the semigroup is semi-simple.
Cite
@article{arxiv.0810.4569,
title = {Hyperbolicity of Semigroup Algebras II},
author = {E. Iwaki and E. Jespers and S. O. Juriaans and A. C. Souza Filho},
journal= {arXiv preprint arXiv:0810.4569},
year = {2008}
}
Comments
In doi:10.1016/j.jalgebra.2008.03.015 it was, partially, classified the finite semigroups S which the semigroup algebra QS has the hyperbolic property. In this article we complete this classification