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Quotient monoids and greatest commutative monoid images of several types

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Abstract

The concept of a quotient monoid modulo a subtractive subsemigroup is exploited systematically to determine necessary and sufficient conditions for a commutative semigroup to possess greatest monoid images that are separative, cancellative, power cancellative, or totally cancellative. The group of units of each such greatest image is determined and the images themselves are described via quotient monoids.

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Authors and Affiliations

  1. Department of Mathematics, University of Alaska, 99701, Fairbanks, Alaska

    Tom Head

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  1. Tom Head
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Communicated by D. B. McAlister

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Head, T. Quotient monoids and greatest commutative monoid images of several types. Semigroup Forum 17, 351–363 (1979). https://doi.org/10.1007/BF02194334

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  • DOI: https://doi.org/10.1007/BF02194334

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