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arXiv · 2407.14569

On right $\pi$-inverse ordered semigroups

A. Jamadar
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Abstract

Here we introduce the notion of (left, right) $\pi$-$t$-simple, right $\pi$-inverse ordered semigroups and discuss characterizations and relationships concerning them. Semilattice decomposition of left $\pi$-$t$-simple ordered semigroups has been given here. Furthermore, we study an interrelation between the generalized Green's relations and the class of semigroups which are semilattices of right $\pi$-$t$-simple ordered semigroups.

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A. Jamadar. 2024-07-19. On right $\pi$-inverse ordered semigroups. https://arxiv.org/abs/2407.14569

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