IDEAL THEORY OF BE-ALGEBRAS BASED ON N-STRUCTURES

被引：0
|
作者：
Jun, Young Bae [1 ,2 ]
Kang, Min Su [3 ]
机构：
[1] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea
[2] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea
[3] Hanyang Univ, Dept Math, Seoul 133791, South Korea
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2012年 / 41卷 / 04期
关键词：
(Transitive; Self distributive) BE-algebra; Ideal; N-ideal; ([e; e]V[c])-ideal;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Using N-structures, the notion of an N-ideal in a BE-algebra is introduced. Characterizations of an N-ideal are discussed. Conditions for an N-structure to be an N-ideal are provided. To obtain a more general form of an N-ideal, a point N-structure which is (conditionally) employed in an N-structure is proposed. Using these notions, the concept of an ([e], [e]V[c])-ideal is introduced, and related properties are investigated. Characterizations of ([e], [e]V[c])-ideals are discussed.
引用
收藏
页码：435 / 447
页数：13
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