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The globals of some subpseudovarieties of DA

Title
The globals of some subpseudovarieties of DA
Type
Article in International Scientific Journal
Year
2004
Authors
Almeida, J
(Author)
FCUP
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Escada, A
(Author)
Other
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Journal
Vol. 14
Pages: 525-549
ISSN: 0218-1967
Publisher: World Scientific
Scientific classification
FOS: Natural sciences > Mathematics
Other information
Authenticus ID: P-000-7GG
Abstract (EN): Let R be the pseudovariety of all finite monoids whose principal right ideals have a unique generator, let L be its dual, and let J = R boolean AND L. Using the word problem for free pro-J monoids, it is shown that the bilateral semidirect product SI ** J is local, where SI denotes the pseudovariety of all finite semilattices. The global of the pseudovariety R boolean OR L is also computed and it is shown that this join is not local.
Language: English
Type (Professor's evaluation): Scientific
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