HYPERBOLICITY OF SEMIGROUP ALGEBRAS II-Reference-Cited by-同舟云学术

HYPERBOLICITY OF SEMIGROUP ALGEBRAS II

Published:2010-12 Issue:06 Volume:09 Page:871-876
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

IWAKI E.¹,JESPERS E.²,JURIAANS S. O.³,SOUZA FILHO A. C.⁴

Affiliation:

1. Centro de Matemática, Computação e Cognição, Universidade Federal do ABC, Rua Catequese, 242, 3° andar, Santo André, CEP 09090-400, Brasil

2. Department of Mathematics, Vrije Universiteit Brussel, Pleinlaan 2, 1050, Brussel, Belgium

3. Instituto de Matemática e Estatística, Universidade de São Paulo (IME-USP), Caixa Postal 66281, São Paulo, CEP 05315-970, Brasil

4. Escola de Artes, Ciências e Humanidades, Universidade de São Paulo (EACH-USP), Rua Arlindo Béttio, 1000, Ermelindo Matarazzo, São Paulo, CEP 03828-000, Brasil

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498810004270

Reference9 articles.

1. The Algebraic Theory of Semigroups, Volume I

2. Hyperbolic Groups

3. Hyperbolicity of semigroup algebras

4. Free normal complements and the unit group of integral group rings

5. Units of Integral Semigroup Rings

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