On nil-extensions of left strongly simple $po$-semigroups
Commun. Korean Math. Soc. 2011 Vol. 26, No. 3, 405-416
Printed 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
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