IDEAL EXTENSIONS OF WEAKLY REDUCTIVE ORDERED SEMIGROUPS

Niovi Kehayopulu; Michael Tsingelis

doi:10.32219/isms.70.3_399

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Keywords: Ordered semigroup, weakly reductive, left (right) translation, bitranslation, permutable bitranslation, partial homomorphism, ramification mapping, (ideal) extension of an ordered semigroup S by an ordered semigroup Q (Q having a zero)

JOURNAL FREE ACCESS

2009 Volume 70 Issue 3 Pages 399-406

DOI https://doi.org/10.32219/isms.70.3_399

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Abstract

Ideal extensions of semigroups (without order) have been first considered by Clifford and Preston in 1950. The main theorem of the ideal extensions of ordered semigroups has been studied by Kehayopulu and Tsingelis in 2003. As a continuation of our paper on the ideal extensions of ordered semigroups, we present here the ideal extensions of weakly reductive ordered semigroups.

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