East Asian mathematical journal
- Volume 19 Issue 2
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- Pages.233-240
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- 2003
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- 1226-6973(pISSN)
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- 2287-2833(eISSN)
M-SYSTEM AND N-SYSTEM IN PO-SEMIGROUPS
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Lee, Sang-Keun
(Department of Mathematics College of Education Gyeongsang National University)
- Published : 2003.12.31
Abstract
Xie and Wu introduced an m-system in a po-semigroup. Kehayopulu gave characterizations of weakly prime ideals of po-semigroups and Lee and Kwon add two characterizations for weakly prime ideals. In this paper, we give a characterization of weakly prime ideals and a characterization of weakly semi-prime ideals in po-semigroups using m-system and n-system, respectively
Keywords
- po-semigroup;
- ideal;
- left(right) ideal;
- weakly prime;
- weakly semi-prime m-system;
- n-system;
- m-radical