SOLVABLE MONOIDS WITH COMMUTING IDEMPOTENTS-Reference-Cited by-同舟云学术

SOLVABLE MONOIDS WITH COMMUTING IDEMPOTENTS

Published:2005-06 Issue:03 Volume:15 Page:547-570
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

DELGADO MANUEL¹,FERNANDES VÍTOR H.²³

Affiliation:

1. Centro de Matemática, Universidade do Porto, Rua do Campo Alegre, 687, 4169-007 Porto, Portugal

2. Departamento de Matemática, Faculdade de Ciências e Tecnologia, Universidade Nova de Lisboa, Monte de Caparica, 2829-516 Caparica, Portugal

3. C.A.U.L., Av. Prof. Gama Pinto, 2, 1649-003 Lisboa, Portugal

Abstract

The notion of Abelian kernel of a finite monoid extends the notion of derived subgroup of a finite group. In this line, an extension of the notion of solvable group to monoids is quite natural: they are the monoids such that the chain of Abelian kernels ends with the submonoid generated by the idempotents. We prove in this paper that the finite idempotent commuting monoids satisfying this property are precisely those whose subgroups are solvable.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196705002414

Reference27 articles.

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