journal-of-discrete-mathematical-sciences-and-cryptography Journal of Discrete Mathematical Sciences and Cryptography 2169-0065 0972-0529 Taru Publications 10.47974/JDMSC-2678 Expended translation BIF ψ-ideals of ψ-algebra  Jabi Naba Hasson Department of Mathematics, Faculty of Education for Women, University of Kufa, Kufa, Iraq Kadum Intissar Abdulhur Department of Mathematics, Faculty of Education for Women, University of Kufa, Kufa, Iraq 29 5 2069 2076 22 05 2026

This is our first start πœ“- algebra, πœ“- ideals of πœ“- algebra. We explain BIF-set, BIF-πœ“-ideals of πœ“-algebra, expended translation BIF-πœ“-ideals of πœ“- algebra, we discuss some results of images and pre-images of expended translation BIF-πœ“- ideal of πœ“- algebra Β and we studied the Cartesian product of expended translation BIF-πœ“- ideal of ψ- algebra. Symbolize ΞΎ = [0, 1].

 πœ“- algebra πœ“- ideal BIF Expended translation BIF-πœ“- ideal access open retracted no