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On the equation V*G=EV

Citation

Almeida, J and Escada, A, On the equation V*G=EV, Journal of Pure and Applied Algebra, 166, (1) pp. 1-28. ISSN 0022-4049 (2002) [Refereed Article]

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

Abstract

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 script D sign S are considered, including all subpseudovarieties of ℒI, script D sign A, script D sign S itself, and J, the latter providing a new proof of a result of Henckell and Rhodes. © 2002 Elsevier Science B.V. All rights reserved.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Pure Mathematics
Research Field:Group Theory and Generalisations
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Almeida, J (Professor Jane Almeida)
ID Code:23821
Year Published:2002
Web of Science® Times Cited:7
Deposited By:Mathematics
Deposited On:2002-08-01
Last Modified:2003-05-01
Downloads:0

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