| On Weakly Commutative po-Semigroups |
| Received:November 17, 1992 |
| Key Words:
po-semigroups poe-semigroups weakly commutative po-semigourps archimedcan subsemigroups
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| Fund Project:This work is partlally supported by the NSF of China and partially by the NSF of Education Committee of Heilongjiang Province. |
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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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