Chain decompositions of ordered semigroups |
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| Authors: | Yonglin Cao |
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| Institution: | (1) School of Mathematics and Information Shandong University of Technology Zibo, Shandong 255091, China ylcao@zbu.net.cn, CN |
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| Abstract: | Characterizations of ordered semigroups which can be decomposed into (natural ordered) chains of ω -simple ordered semigroups are given, where ω -simple ordered semigroups are ξ
l
(ξ
t
) -simple, left (t -) simple, L
n
(H
n
) -simple, l (t )-archimedean and nil-extensions of left (t -) simple ordered semigroups, respectively. As a generalization of the theory of Clifford semigroups (without orders) to
ordered semigroups, ordered semigroups which are semilattices of t -simple subsemigroups are characterized. |
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| Keywords: | |
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