Prime one-sided ideals in ternary semirings

被引：0
|
作者：
Luangchaisri, Panuwat [1 ]
Changphas, Thawhat [1 ]
机构：
[1] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE | 2024年 / 19卷 / 02期
关键词：
Key words and phrases; Ternary semirings; prime right ideal; semiprime right ideal; right weakly regular; fully prime right;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study right weakly regular ternary semirings and fully prime right ternary semirings. Let T be a ternary semiring with absorbing zero and identity. We prove the following: (1) T is right weakly regular if and only if [AAA] = A for each right ideal A of T, and (2) T is a fully prime right ternary semiring if and only if T is right weakly regular and for ideals A, B and C of T one of the following assertions holds: A C B pi C; B C A pi C; C C A pi B.
引用
收藏
页码：403 / 409
页数：7
相关论文
共 50 条
12345