SEMI-NEUTRAL GROUPOIDS AND BCK-ALGEBRAS

被引:0
作者
Kim, Hee Sik [1 ]
Neggers, Joseph [2 ]
Seo, Young Joo [3 ]
机构
[1] Hanyang Univ, Dept Math, Seoul 04763, South Korea
[2] Univ Alabama, Dept Math, Tuscaloosa, AL 35487 USA
[3] Daejin Univ, Dept Math, 11159, Pochen, South Korea
来源
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2022年 / 37卷 / 03期
关键词
Left-almost-zero; semi-(neutral; leftoid); power associative; BCK-algebra; trace function; projection; Smarandache disjoint;
D O I
10.4134/CKMS.c210236
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce the notion of a left-almost-zero groupoid, and we generalize two axioms which play important roles in the theory of BCK-algebra using the notion of a projection. Moreover, we investigate a Smarandache disjointness of semi-leftoids.
引用
收藏
页码:649 / 658
页数:10
相关论文
共 9 条
[1]  
Allen P. J., 2005, SCI MATH JAPO, V61, P447
[2]   BRACKET FUNCTIONS ON GROUPOIDS [J].
Allen, Paul J. ;
Kim, Hee Sik ;
Neggers, Joseph .
COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2019, 34 (02) :375-381
[3]  
Han JS, 2010, J MULT-VALUED LOG S, V16, P331
[4]  
Huang Y.S., 2006, BCI-Algebra
[5]  
Iorgulescu A., 2008, Algebras of logic as BCK-algebra
[6]  
Iseki K., 1978, Mathematics Japonica, V23, P1
[7]  
Kim H.S., 2006, Sci. Math. Jpn. Online, P1299
[8]   THE SEMIGROUPS OF BINARY SYSTEMS AND SOME PERSPECTIVES [J].
Kim, Hee Sik ;
Neggers, Joseph .
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (04) :651-661
[9]  
Meng J., 1994, BCK-Algebras