On Prime, Weakly Prime Left Ideals and Weakly Regular Ternary Semirings

被引：0
|
作者：
Bhambri, S. K. [1 ]
Dubey, Manish Kant [2 ]
Anuradha [3 ]
机构：
[1] Univ Delhi, Dept Math, KM Coll, Delhi 110007, India
[2] DRDO, SAG, Delhi 110054, India
[3] Univ Delhi, Dept Math, Delhi 110007, India
来源：
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS | 2013年 / 37卷 / 06期
关键词：
Ternary semiring; Weakly prime left ideals; Weakly regular ternary semirings;
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 introduce the concepts of prime and weakly prime left ideals in ternary semiring and give some characterizations related to the same. The notion of weak m-system in ternary semiring is introduced and give some characterizations in terms of prime and weakly prime left ideals in ternary semirings. We also introduce the notion of weakly regular ternary semiring and prove some important results analogous to ring theory.
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页码：801 / 811
页数：11
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