TY - JOUR
ID - 1586
TI - P-CLOSURE IN PSEUDO BCI-ALGEBRAS
JO - Journal of Algebraic Systems
JA - JAS
LA - en
SN - 2345-5128
AU - Harizavi, H.
AD - Department of Mathematics, Shahid Chamran University of Ahvaz, Ahvaz, Iran.
Y1 - 2020
PY - 2020
VL - 7
IS - 2
SP - 155
EP - 165
KW - Pseudo BCI-algebra
KW - Pseudo BCI-ideal
KW - P-closure
KW - Closure operator
DO - 10.22044/jas.2019.6332.1315
N2 - 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.
UR - https://jas.shahroodut.ac.ir/article_1586.html
L1 - https://jas.shahroodut.ac.ir/article_1586_994b806d9cbd425ae6e15391715c3f04.pdf
ER -