Some Basic Properties of Completely Prime Ideals in Near Rings

被引：0
|
作者：
Yiarayong, Pairote [1 ]
机构：
[1] Pibulsongkram Rajabhat Univ, Fac Sci & Technol, Dept Math, Phitsanulok 65000, Thailand
来源：
JOURNAL OF MATHEMATICAL AND FUNDAMENTAL SCIENCES | 2015年 / 47卷 / 03期
关键词：
completely prime ideal; near-ring; quasi completely prime; weakly completely prime ideal; weakly quasi completely prime;
D O I：
10.5614/j.math.fund.sci.2015.47.3.1
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this investigation we studied completely prime, weakly completely prime, quasi completely prime and weakly quasi completely prime ideals in near-rings. Some characterizations of completely prime and weakly completely prime ideals were obtained. Moreover, we investigated relationships between completely prime and weakly completely prime ideals in near-rings. Finally, we obtained necessary and sufficient conditions for a weakly completely prime ideal to be a completely prime ideal.
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页码：227 / 235
页数：9
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