Principal filters of some ordered $\Gamma$-semigroups

For an intra-regular or a left regular and left duo ordered $\Gamma$-semigroup $M$, we describe the principal filter of $M$ which plays an essential role in the structure of this type of $po$-$\Gamma$-semigroups. We also prove that an ordered $\Gamma$-semigroup $M$ is intra-regular if and only if t...

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Bibliographic Details
Main Authors: Niovi Kehayopulu, Michael Tsingelis
Format: Article
Language:English
Published: Republic of Armenia National Academy of Sciences 2016-12-01
Series:Armenian Journal of Mathematics
Online Access:http://armjmath.sci.am/index.php/ajm/article/view/127