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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

HYPERBOLICITY OF SEMIGROUP ALGEBRAS II

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Author(s):
Iwaki, E. [1] ; Jespers, E. [2] ; Juriaans, S. O. [3] ; Souza Filho, A. C. [4]
Total Authors: 4
Affiliation:
[1] Univ Fed ABC, Ctr Matemat Comp & Cognicao, BR-09090400 Santo Andre - Brazil
[2] Vrije Univ Brussel, Dept Math, B-1050 Brussels - Belgium
[3] Univ Sao Paulo, Inst Matemat & Estat, BR-05315970 Sao Paulo - Brazil
[4] Univ Sao Paulo, Escola Artes Ciencias & Humanidades, BR-03828000 Sao Paulo - Brazil
Total Affiliations: 4
Document type: Journal article
Source: JOURNAL OF ALGEBRA AND ITS APPLICATIONS; v. 9, n. 6, p. 871-876, DEC 2010.
Web of Science Citations: 1
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 contains a Z-order with hyperbolic unit group. In this paper, we complete this classification and give an easy proof that deals with all finite semigroups. (AU)