Scientiae Mathematicae Japonicae
Online ISSN : 1346-0447
ON ORDERED Γ-SEMIGROUPS
Niovi Kehayopulu
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Keywords: Γ-semigroup, ordered Γ-semigroup (po-Γ-semigroup), regular, intra-regular po-Γ-semigroup, right (left) ideal, bi-ideal, quasi-ideal in a po-Γ-semigroup, idempotent subset of a po-Γ-semigroup
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2010 Volume 71 Issue 2 Pages 179-185

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Abstract
In this paper we show the way we pass from ordered semigroups to ordered Γ-semigroups. Moreover we show that, exactly as in ordered semigroups, in the results of ordered Γ-semigroups based on right (left) ideals, quasi-ideals and bi-ideals, points do not play any essential role, but the sets, which shows their pointless character. Under the methodology using in this paper, all the results of ordered semigroups can be transferred into ordered Γ-semigroups.
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© 2010 International Society for Mathematical Sciences
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