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Power pseudovarieties of semigroups. II - MaRDI portal

Power pseudovarieties of semigroups. II (Q1073187)

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scientific article; zbMATH DE number 3944150
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Power pseudovarieties of semigroups. II
scientific article; zbMATH DE number 3944150

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    Power pseudovarieties of semigroups. II (English)
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    1986
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    [See also the preceding review.] If V is a permutative pseudovariety, i.e. every member of V satisfies some permutative identity \(x_ 1...x_ pyzx_{p+1}...x_ m=x_ 1...x_ pzyx_{p+1}...x_ m\), then \(P^ 2V\) and \(P'{}^ 2V\) can be characterized. If V is not permutative then \(P'{}^ 3V=S\). The results render a presentation of the semigroup of operators generated by P and P' which turns out to be finite.
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    permutative pseudovariety
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    permutative identity
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    presentation
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    semigroup of operators
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