Solvable monoids with commuting idempotents

• Type: Article in International Scientific Journal
• Date: 2005

Authors

delgado, m (Author) FCUP; fernandes, vh (Author) Other

Journal

Title: International Journal of Algebra and Computation

Vol. 15 No. 5-6

Pages: 547-570

ISSN: 0218-1967

Publisher: World Scientific

Indexing

ISI Web of Knowledge - 4 Citations

Scopus - 5 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-000-31M

DOI: 10.1142/s0218196705002414

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 24