On the Classification of Finite Semigroups and RA-loop with the Hyperbolic Property

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We classify the finite semigroups S, for which all the Z-orders O of the rational Q-algebra QS, is such that the unit group U(O) is hyperbolic. We also classify the RA-loops L, for which the unit loop U(ZL) does not contain any free abelian subgroup of rank two.
5 pages; this is part of the second and third chapters of the second author's PhD. Thesis. The last theorem was revised, as well as added some definitions and references

Keywords

Rings and Algebras, General Mathematics, 20M25;20M10

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/127645

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610701
 http://arxiv.org/abs/math/0610701

Collections

arXiv