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The Relation B in le-Semigroups

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Abstract

We study the relation B in le-semigroups that mimics the relation "to generate the same bi-ideal" considered by Kapp [1] in the plain semigroup case. This relation in general is finer than the Green-Kehayopulu relation H we studied in [6] and turns out to have better properties. In particular, the regularity (intra-regularity) of an element induces the regularity (respectively intra-regularity) of the whole B-class containing that element. We also provide various conditions under which B-classes are subsemigroups.

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Authors and Affiliations

  1. Rr. Pano Xhamballo, Nr. 9, Korce, Albania

    Elton Pasku

  2. Fakulteti i Shkencave te Natyres, Departamenti i Matematikes, Tirana, Albania

    Petraq Petro

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  1. Elton Pasku
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  2. Petraq Petro
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Correspondence to Elton Pasku or Petraq Petro.

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Pasku, E., Petro, P. The Relation B in le-Semigroups. Semigroup Forum 75, 427–437 (2007). https://doi.org/10.1007/s00233-007-0711-0

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  • DOI: https://doi.org/10.1007/s00233-007-0711-0

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