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Cancellative semigroups with non-empty center

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Abstract

Cancellative, idempotent-free semigroups having non-empty center are characterized in terms of a Schreier extension. Cancellative pivoted semigroups with non-empty center are characterized as a group or in terms of a triple (G,H,I), where G is a group, H is either empty or a subgroup of G and I is a function mapping GxG into the non negative integers.

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Authors and Affiliations

  1. University of California, 95616, Davis, CA

    Thomas Nordahl

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  1. Thomas Nordahl
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Communicated by A. H. Clifford

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Nordahl, T. Cancellative semigroups with non-empty center. Semigroup Forum 11, 170–177 (1975). https://doi.org/10.1007/BF02195266

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  • DOI: https://doi.org/10.1007/BF02195266

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