Purities of Ordered Ideals of Ordered Semirings

被引：0
|
作者：
Ayutthaya, Pakorn Palakawong Na [1 ]
Pibaljommee, Bundit [1 ,2 ]
机构：
[1] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand
[2] Ctr Excellence Math CHE, Bangkok 10400, Thailand
来源：
KYUNGPOOK MATHEMATICAL JOURNAL | 2020年 / 60卷 / 03期
关键词：
pure ordered ideal; ordered semiring; regular ordered semiring;
D O I：
10.5666/KMJ.2020.60.3.455
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the concepts of the left purity, right purity, quasi-purity, bi-purity, left weak purity and right weak purity of ordered ideals of ordered semirings and use them to characterize regular ordered semirings, left weakly regular ordered semirings, right weakly regular ordered semirings and fully idempotent ordered semirings.
引用
收藏
页码：455 / 465
页数：11
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