P-CLOSURE IN PSEUDO BCI-ALGEBRAS

Journal of Algebraic Systems

H. Harizavi¹ 

[1] Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran.;

关键词: pseudo bci-algebra;    pseudo bci-ideal;    p-closure;    closure operator;   

DOI  :  10.22044/jas.2019.6332.1315

来源: DOAJ

【 摘 要 】

In this paper, for any non-empty subset C of a pseudo
BCI-algebra X, the concept of p-closure of C, denoted by C(pc), is
introduced and some related properties are investigated. Applying
this concept, a characterization of the minimal elements of X is
given. It is proved that C(pc) is the least closed pseudo BCI-ideal of X
containing C and K(X) for any ideal C of X. Finally, by using the
concept of p-closure, a closure operator is introduced.

【 授权许可】

Unknown