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arXiv · 1511.00679

On intra-regular and left regular and left duo ordered $Γ$-semigroups

Niovi Kehayopulu·Michael Tsingelis
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Abstract

For an intra-regular or a left regular and left duo ordered $Γ$-semigroup $M$, we describe the principal filter of $M$ which plays an essential role in the structure of this type of $po$-$Γ$-semigroups. We also prove that an ordered $Γ$-semigroup $M$ is intra-regular if and only if the ideals of $M$ are semiprime and it is left (right) regular and left (right) duo if and only if the left (right) ideals of $M$ are semiprime.

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Niovi Kehayopulu, Michael Tsingelis. 2015-11-01. On intra-regular and left regular and left duo ordered $Γ$-semigroups. https://arxiv.org/abs/1511.00679

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