Hyperbolicity of Semigroup Algebras II

Details Hyperbolicity of Semigroup Algebras II Hyperbolicity of Semigroup Algebras II

2008-10-25

arxiv.org/abs/0810.4569v1

Mathematics

Rings and Algebras

In doi:10.1016/j.jalgebra.2008.03.015 it was, partially, classified the finite semigroups S which the semigroup algebra QS has

Scientific paper

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 ${\mathbb{Z}}$-order with hyperbolic unit group. In this paper we complete this classification by handling the case in which the semigroup is semi-simple.

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