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Semilattices of proper inverse semigroups

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Abstract

Given a semilattice Y of inverse semigroups Sα, there corresponds a semilattice Y of groups Gα in a natural way. This correspondence is used to study semilattices of proper inverse semigroups. In paticular, it is shown that if S is a semilattice of proper inverse semigroups, then there exists a minimum semilattice congruence η such that each η-class is proper and there exists a maximum semilattice congruence ν such that each ν-class is proper.

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References

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Authors and Affiliations

  1. Department of Mathematics Faculty of Science, Chulalongkorn University, Bangkok, Thailand

    Darel W. Hardy & Yupaporn Tirasupa

  2. Department of Mathematics, Colorado State University, 80523, Fort Collins, Colorado

    Darel W. Hardy & Yupaporn Tirasupa

Authors
  1. Darel W. Hardy
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  2. Yupaporn Tirasupa
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Additional information

Communicated by Robert McFadden

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Hardy, D.W., Tirasupa, Y. Semilattices of proper inverse semigroups. Semigroup Forum 13, 29–36 (1976). https://doi.org/10.1007/BF02194919

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  • DOI: https://doi.org/10.1007/BF02194919

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