Prime i-Ideals in Ordered n-ary Semigroups

被引：5
|
作者：
Pornsurat, Patchara [1 ]
Palakawong Na Ayutthaya, Pakorn [1 ]
Pibaljommee, Bundit [1 ]
机构：
[1] Khon Kaen Univ, Dept Math, Fac Sci, Khon Kaen 40002, Thailand
来源：
MATHEMATICS | 2021年 / 9卷 / 05期
关键词：
n-ary semigroup; ordered n-ary semigroup; prime ideal; weakly prime ideal; semiprime ideal;
D O I：
10.3390/math9050491
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the concept of i-ideal of an ordered n-ary semigroup and give a construction of the i-ideal of an ordered n-ary semigroup generated by its nonempty subset. Moreover, we study the notions of prime, weakly prime, semiprime and weakly semiprime ideals of an ordered n-ary semigroup.
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页码：1 / 11
页数：11
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