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Communications in Algebra Volume 29, 2001 - Issue 5
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Original Articles

QUOTIENT PRINCIPAL FACTORS OF AN ORDERED SEMIGROUP

Yonglin Cao Department of Mathematics and Physics, Zibo University, Zibo, Shandong, 255091, P. R. China
Pages 1993-2011 | Received 01 Sep 1999, Published online: 19 Aug 2006
 
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Abstract

In this paper, we introduce the concepts of 0-minimal ideals, 0-simple ordered semigroups, Rees factor ordered semigroups, natural QO-homomorphisms, quotient principal factors and semisimple ordered semigroups, and discuss characterizations, properties and relationships concerning them. Moreover, we generalize the principal series theory and relative ideal series theory of semigroups (without order) to general ordered semigroups and semisimple ordered semigroups, respectively.

ACKNOWLEDGMENT

The author would like to thank the referee for his valuable suggestions.

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