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The join of the pseudovarieties of idempotent semigroups and locally trivial semigroups
Authors:M Zeitoun
Institution:(1) LITP Institut Blaise Pascal, 4 Place Jussieu, 75252 Paris Cedex 05, France
Abstract:This article solves a problem proposed by Almeida: the computation of the join of two well-known pseudovarieties of semigroups, namely the pseudovariety of bands and the pseudovariety of locally trivial semigroups. We use a method developed by Almeida, based on the theory of implicit operations. This work was partly supported by PRC Mathématiques et Informatique and by ESPRITBRA WG 6317 ASMICS-2
Keywords:
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