Pure Ideals in Ordered Semigroups

被引：9
|
作者：
Changphas, Thawhat [1 ]
Sanborisoot, Jatuporn [1 ]
机构：
[1] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand
来源：
KYUNGPOOK MATHEMATICAL JOURNAL | 2014年 / 54卷 / 01期
关键词：
ordered semigroup; weakly regular ordered semigroup; pure ideal; weakly pure ideal; purely prime ideal; topology;
D O I：
10.5666/KMJ.2014.54.1.123
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper the concepts of pure ideals, weakly pure ideals and purely prime ideals in ordered semigroups are introduced. We obtain some characterizations of pure ideals and prove that the set of all pure prime ideals is topologized.
引用
收藏
页码：123 / 129
页数：7
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