Hyperbolicity of Semigroup Algebras
| dc.creator | Iwaki, E. | |
| dc.creator | Juriaans, S. O. | |
| dc.creator | Filho, A. C. Souza | |
| dc.date | 2007-04-17 | |
| dc.date | 2007-11-21 | |
| dc.date.accessioned | 2026-07-07T08:43:50Z | |
| dc.date.available | 2026-07-07T08:43:50Z | |
| dc.description | Let $A$ be a finite dimensional $Q-$algebra and $Γsubset A$ a $Z-$order. We classify those $A$ with the property that $Z^2$ does not embed in $\mathcal{U}(Γ)$. We call this last property the hyperbolic property. We apply this in the case that $A = KS$ a semigroup algebra with $K = Q$ or $K = Q(\sqrt{-d})$. In particular, when $KS$ is semi-simple and has no nilpotent elements, we prove that $S$ is an inverse semigroup which is the disjoint union of Higman groups and at most one cyclic group $C_n$ with $n \in \{5,8,12\}$. | |
| dc.description | This article corresponds to the second chapter of the third author PhD Thesis | |
| dc.identifier | https://arxiv.org/abs/0704.2248 | |
| dc.identifier | http://arxiv.org/abs/0704.2248 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/142458 | |
| dc.subject | Rings and Algebras | |
| dc.subject | Group Theory | |
| dc.subject | 16U60, 20M25 | |
| dc.title | Hyperbolicity of Semigroup Algebras | |
| dc.type | text |