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Monthly Journal: Publishes theoretical and applied research in all areas of Discrete Mathematical Sciences, Cryptography, Combinatorics, Elliptic Curves and Information Security.

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Open Access Research Article

Pseudo permutation-BCK-algebras with their ideals

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pp. 1173–1179Vol. 28Issue 4-AJune 2025DOI: 10.47974/JDMSC-2124 Crossmark XML
Received:
10 Dec 2024
Published Online:
26 Jun 2025
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-2124
Pages:
1173–1179

Abstract

This paper provides new ideas like pseudo permutation BCK-algebra, pseudo permutation subalgebra, pseudo permutation ideal, and portion permutation. Moreover, their qualities are discussed. In this work, we show that if λβpo is a portion permutation of  M = (X,⊛,⊚,T), then  λβpo ⊛ λiβ  = λβpo ⊚ λiβ  for any λiβ ∈ X. Next, some interesting results in pseudo permutation BCK-algebra are given and shown. Furthermore, some instances are provided to support our findings in this paper.

Keywords

Subject Classifications

Primary 03G25Secondary 08A30

References

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