Semilattices of nil-extensions of simple left (right) $\pi$-regular ordered semigroups
Novi Sad Journal of Mathematics, Tome 46 (2016) no. 1.

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The purpose of this paper is to describe the semilattice of nil-extensions of simple left (right) $\pi$-regular ordered semigroups. We will divide this discussion into two parts. In the first part we will give the characterizations of semilattice of nil-extensions of simple left (right) $\pi$-regular ordered semigroups. As applications, in the second part we characterize nil-extensions of simple completely $\pi$-regular ordered semigroups.
Publié le :
DOI : 10.30755/NSJOM.2013.056
Classification : 20M10, 06F05
Keywords: simple, left (right) $\pi$-regular, completely $\pi$-regular, nil-extension, complete semilattices, chain
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     title = {Semilattices of nil-extensions of simple left
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QingShun Zhu. Semilattices of nil-extensions of simple left
(right) $\pi$-regular ordered semigroups. Novi Sad Journal of Mathematics, Tome 46 (2016) no. 1. doi : 10.30755/NSJOM.2013.056. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.2013.056/

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