ON PSEUDO-BCI IDEALS OF PSEUDO-BCI ALGEBRAS

被引：0
|
作者：
Jun, Young Bae [1 ]
Kim, Hee Sik [2 ]
Neggers, J. [3 ]
机构：
[1] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, Jin Ju, South Korea
[2] Hanyang Univ, Dept Math, Seoul 133791, South Korea
[3] Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USA
来源：
MATEMATICKI VESNIK | 2006年 / 58卷 / 1-2期
关键词：
Pseudo-BCK/BCI-algebra; pseudo-atom; pseudo-BCI ideal; pseudo-BCI homomorphism;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The notions of pseudo-atoms, pseudo-BCI ideals and pseudo-BCI homomorphisms in pseudo-BCI algebras are introduced. Characterizations of a pseudo-BCI ideal are displayed, and conditions for a subset to be a pseudo-BCI ideal are given. The concept of a lozenge-medial pseudo-BCI algebra is also introduced, and its characterization is provided. We show that every pseudo-BCI homomorphic image and preimage of a pseudo-BCI ideal is also a pseudo-BCI ideal.
引用
收藏
页码：39 / 46
页数：8
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