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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 |
| UTAS 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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