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On linearly ordered H-closed topological semilattices

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Abstract

We give a criterion for a linearly ordered topological semilattice to be H-closed. We also prove that any linearly ordered H-closed topological semilattice is absolutely H-closed and we show that every linearly ordered semilattice is a dense subsemilattice of an H-closed topological semilattice.

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Authors and Affiliations

  1. Department of Mathematics, Ivan Franko Lviv National University, Universytetska 1, Lviv, 79000, Ukraine

    Oleg Gutik

  2. Institute of Mathematics, Physics and Mechanics, and Faculty of Mathematics and Physics, University of Ljubljana, Jadranska 19, Ljubljana, 1000, Slovenia

    Dušan Repovš

Authors
  1. Oleg Gutik
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  2. Dušan Repovš
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Corresponding author

Correspondence to Oleg Gutik.

Additional information

Communicated by Jimmie D. Lawson.

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Gutik, O., Repovš, D. On linearly ordered H-closed topological semilattices. Semigroup Forum 77, 474–481 (2008). https://doi.org/10.1007/s00233-008-9102-4

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  • DOI: https://doi.org/10.1007/s00233-008-9102-4

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