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ON ITERATED SEMIDIRECT PRODUCTS OF FINITE SEMILATTICES

Title
ON ITERATED SEMIDIRECT PRODUCTS OF FINITE SEMILATTICES
Type
Article in International Scientific Journal
Year
1991
Authors
ALMEIDA, J
(Author)
FCUP
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Journal
Title: Journal of AlgebraImported from Authenticus Search for Journal Publications
Vol. 142
Pages: 239-254
ISSN: 0021-8693
Publisher: Elsevier
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-001-QGF
Abstract (EN): Let Sl denote the class of all finite semilattices and let Sln be the pseudovariety of semigroups generated by all semidirect products of n finite Semilattices. The main result of this paper shows that, for every n ¿ 3, Sln is not finitely based. Nevertheless, a simple basis of identities is described for each Sln. We also show that Sln is generated by a semigroup with 2n generators but, except for n ¿ 2, we do not know whether the bound 2n is optimal. © 1991.
Language: English
Type (Professor's evaluation): Scientific
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