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Title: Computing relative abelian kernels of finite monoids
Authors: Cordeiro, Edite
Delgado, Manuel
Keywords: Recursive supernatural number
Subpseudovarieties of abelian groups
Relative closures of subgroups of the free abelian
Issue Date: 2006
Publisher: Elsevier
Citation: Cordeiro, Edite; Delgado, M. (2006) - Computing relative abelian kernels of finite monoids. Journal of Algebra. ISSN 0021-8693. 303:2 p.642--654
Abstract: Let H be a pseudovariety of abelian groups corresponding to a recursive supernatural number. In this note we explain how a concrete implementation of an algorithm to compute the kernel of a finite monoid relative to H can be achieved. The case of the pseudovariety Ab of all finite abelian groups was already treated by the second author and plays an important role here, where we will be interested in the proper subpseudovarieties of Ab. Our work relies on an algorithm obtained by Steinberg.
ISSN: 0021-8693
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Appears in Collections:DEMAT - Artigos em Revistas Indexados ao ISI/Scopus

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