# ON NIL-EXTENSIONS OF LEFT STRONGLY SIMPLE po-SEMIGROUPS

• Zhu, Qing Shun (Department of Applied Mathematics and Physics Institute of Sciences Information Engineering University)
• Published : 2011.07.31
• 68 8

#### 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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#### Cited by

1. ON KERNEL OF ORDERED SEMIGROUPS - A CORRIGENDUM vol.28, pp.2, 2013, https://doi.org/10.4134/CKMS.2013.28.2.225