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ON NIL-EXTENSIONS OF LEFT STRONGLY SIMPLE po-SEMIGROUPS

  • Zhu, Qing Shun (Department of Applied Mathematics and Physics Institute of Sciences Information Engineering University)
  • Received : 2010.03.27
  • Published : 2011.07.31

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 leftstrongly 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

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