Nil-extensions of simple po-semigroups |
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| Authors: | Yonglin Cao Xu Xinzhai |
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| Institution: | 1. Department of Mathematics , Zibo College , Zibo, Shandong, 255013, P.R.China;2. Department of Mathematics , Shandong Normal University , Jinan, Shandong, 250014, P.R.China |
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| Abstract: | In this paper, we generalize the concepts of (intra-, left, right, completely) π-regular semigroups without order to po-semigroups and discuss characterizations and relationships concerning them. Moreover, we introduce the concepts of nil-extensions of po-semigroups first, then consider properties and characterizations of po-semigroups which are nil-extensions of (left, rightt-) simple (π-regular) po-semigroups and complete semilattices of this class of po-semigroups. |
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