On Weakly Commutative po-Semigroups
Received:November 17, 1992  
Key Words: po-semigroups   poe-semigroups   weakly commutative po-semigourps   archimedcan subsemigroups  
Fund Project:This work is partlally supported by the NSF of China and partially by the NSF of Education Committee of Heilongjiang Province.
Author NameAffiliation
Jing Fengjie Dept. of Math.
Wuhan Univ. 
Chen Hui Suihua Teachers Collage 
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Abstract:
      We introduce the concept of weakly commutative po-semigroups. We studythe semilattice decompositions of this type of semigroups into their archimedean sub-semigroups and we give a characterization of such semigroups analogous to the corre-sponding result on semigroups without order.As a consequence,the characterization of po-semigroups and the corresponding characterization on semigroups without order canbe obtained.
Citation:
DOI:10.3770/j.issn:1000-341X.1995.01.006
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