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Cancellation in semigroups in which \(x^ 2=x^ 3\) - MaRDI portal

Cancellation in semigroups in which \(x^ 2=x^ 3\) (Q909798)

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scientific article; zbMATH DE number 4138049
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English
Cancellation in semigroups in which \(x^ 2=x^ 3\)
scientific article; zbMATH DE number 4138049

    Statements

    Cancellation in semigroups in which \(x^ 2=x^ 3\) (English)
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    1990
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    The author presents a discussion of the semigroup B(k,m,n), which is the free semigroup generated by k elements and satisfying \(x^ m=x^ n\), where m is a nonnegative integer and n is an integer which is greater than m. Results relating to cancellation in the semigroup which is the union of B(k,2,3) for \(k=1,2,..\). are discussed in detail.
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    locally finite
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    word problem
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    variety of semigroups
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    generators
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    finite semigroup
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    alphabet
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    word length
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    golden mean
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    free semigroup
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    cancellation
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