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 On nil-extensions of left strongly simple $po$-semigroups Commun. Korean Math. Soc. 2011 Vol. 26, No. 3, 405-416 https://doi.org/10.4134/CKMS.2011.26.3.405Published online September 1, 2011 Qing Shun Zhu Information Engineering University Abstract : In this paper, we first introduce the concept of left strongly simple $po$-semigroups, then we discuss properties and characterizations nil-extensions of left strongly simple $po$-semigroups and semilattices of left strongly simple $po$-semigroups. Finally, we give some characterizations of the chain of left strongly simple $po$-semigroups. Keywords : left semiregular, left $\pi$-semiregular, left strongly simple, nil-extension, semilattices, chain MSC numbers : 20M10, 06F05 Downloads: Full-text PDF