On intra-regular and some left regular $\Gamma$-semigroups

Niovi Kehayopulu; Michael Tsingelis

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arXiv · 1511.07783

On intra-regular and some left regular $\Gamma$-semigroups

Niovi Kehayopulu·Michael Tsingelis

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Abstract

We characterize the intra-regular $\Gamma$-semigroups and the left regular $\Gamma$-semigroups $M$ in which $x\Gamma M\subseteq M\Gamma x$ for every $x\in M$ in terms of filters and we prove, among others, that every intra-regular $\Gamma$-semigroup is decomposable into simple components, and every $\Gamma$-semigroup $M$ for which $x\Gamma M\subseteq M\Gamma x$ is left regular, is decomposable into left simple components.

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BibTeX RIS

Niovi Kehayopulu, Michael Tsingelis. 2015-11-21. On intra-regular and some left regular $\Gamma$-semigroups. https://arxiv.org/abs/1511.07783

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