Algebra, Logic and Topology

 

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Author(s)
Ana Paula Escada; J. Almeida;

Title
On the equation V*G=EV

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 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.

Journal
J. Pure Appl. Algebra

Volume
166

Year
2002

Issue
1-2

Page(s)
1-28

 
     
 

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