On the equation V * G = EV

• Type: Article in International Scientific Journal
• Date: 2002

Authors

Almeida, J (Author) FCUP; Escada, A (Author) Other

Journal

Title: Journal of Pure and Applied Algebra

Vol. 166

Pages: 1-28

ISSN: 0022-4049

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 7 Citations

Scopus - 6 Citations

Scientific classification

FOS: Natural sciences > Mathematics

Other information

Authenticus ID: P-000-QMM

DOI: 10.1016/S0022-4049(01)00010-X

Abstract (EN): This note uses some recent powerful tools related with semidirect products V * W of pseudovarieties of semigroups, particularly when the second factor is the pseudovariety G of all finite groups, to give syntactic proofs of equalities of the form V*G=EV, where EV denotes the pseudovariety consisting of the finite semigroups whose idempotents generate subsemigroups from V. Subpseudovarieties V of DS are considered, including all subpseudovarieties of LI, DA, DS itself, and J, the latter providing a new proof of a result of Henckell and Rhodes.

Language: English

Type (Professor's evaluation): Scientific