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Open Access Research Article

Generated new classes of BCK-algebras using permutation quasi-ordered sets

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pp. 1575–1582Vol. 27Issue 5August 2024DOI: 10.47974/JDMSC-1940 Crossmark XML
Received:
08 Nov 2023
Published Online:
26 Aug 2024
Article type:
Research Article
Language:
EN
Article no.:
JDMSC-1940
Pages:
1575–1582

Abstract

This work aims to develop new techniques for introducing new BCK-algebra classes via permutation in symmetric groups. permutation generalized BCK-algebras are introduced as a generalization of positive implicative permutation BCK-algebras. It shows how to create a permutation generalized BCK-algebra from a permutation quasi-ordered set. The concept of permutation generalized ideals of permutation generalized BCK-algebras is introduced, followed by examining the relationships between such ideals and congruence. Permutation generalized BCK-ideals are described in detail. It is established that a set generates a permutation generalized BCK-ideal.

Keywords

Subject Classifications

Primary 06F35Secondary 03G25

References

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