P-CLOSURE IN PSEUDO BCI-ALGEBRAS

author

H. Harizavi Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran.

Abstract:

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.

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Journal title

Journal of Algebraic Systems

volume 7 issue 2

pages 155- 165

publication date 2020-01-01

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Keywords

Pseudo BCI-algebra Pseudo BCI-ideal P-closure Closure operator

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