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TitleFree profinite semigroups over some classes of semigroups locally in DG
Author(s)Costa, José Carlos
Profinite semigroup
Locally in DG
Regular language
Join of pseudovarieties
Issue date2000
PublisherWorld Scientific and Engineering Academy and Society (WSEAS)
JournalInternational Journal of Algebra and Computation
Abstract(s)This paper is concerned with the structure of semigroups of implicit operations on various subpseudovarieties V of DReG intersection with LDG, where DReG and DG are the pseudovarieties of all semigroups S in which each regular D-class is, respectively, a rectangular group and a group, and where LDG is the pseudovariety of semigroups locally in DG. As an application, we give a characterization of the variety of languages recognized by semigroups in V and derive some join decompositions of pseudovarieties.
Publisher versionThe original publication is available at
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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