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A note on regular congruences of ordered semigroups

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Abstract

In this note we first extend Theorem 4.2 from Xiang-Yun (Semigroup Forum 61:159–178, 2000) by showing that the set of all regular congruences with the ordering \(\subseteq \) is actually an algebraic lattice. Afterwards, we derive Maltsev type description of principal regular congruences. Lastly, we rectify an error in Example 4.7 from Xiang-Yun 2000.

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Authors and Affiliations

  1. Ted Rogers School of Management, Ryerson University, 350 Victoria Street, Toronto, ON, M5B 2K3, Canada

    Boža Tasić

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  1. Boža Tasić
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Correspondence to Boža Tasić.

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Communicated by Marcel Jackson.

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Tasić, B. A note on regular congruences of ordered semigroups. Semigroup Forum 97, 377–383 (2018). https://doi.org/10.1007/s00233-018-9925-6

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  • DOI: https://doi.org/10.1007/s00233-018-9925-6

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