English

On ordered $\Gamma$-semigroups ($\Gamma$-semigroups)

General Mathematics 2014-03-13 v1

Abstract

We add here some further characterizations to the characterizations of strongly regular ordered Γ\Gamma-semigroups already considered in Hacettepe J. Math. 42 (2013), 559--567. Our results generalize the characterizations of strongly regular ordered semigroups given in the Theorem in Math. Japon. 48 (1998), 213--215, in case of ordered Γ\Gamma-semigroups. The aim of writing this paper is not just to add a publication in Γ\Gamma-semigroups but, mainly, as a continuation of the paper "On regular duo popo-Γ\Gamma-semigroups in Math. Slovaca 61 (2011), 871--884, to publish a paper which serves as an example to show what a Γ\Gamma-semigroup is and give the right information about this structure.

Keywords

Cite

@article{arxiv.1403.3002,
  title  = {On ordered $\Gamma$-semigroups ($\Gamma$-semigroups)},
  author = {Niovi Kehayopulu},
  journal= {arXiv preprint arXiv:1403.3002},
  year   = {2014}
}
R2 v1 2026-06-22T03:25:19.315Z