BL-Algebras with Permuting Tri-Derivations

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Journal of New Theory
Issue:44
BL-Algebras with Permuting Tri-Derivations

BL-Algebras with Permuting Tri-Derivations

Pages : 1-9

View : 117 | Download : 59

Publication Date : 2023-09-30

Article Type : Research Paper

Abstract :Basic logic algebras insert ignore into journalissuearticles values(BL-algebras); were introduced by Hajek. Multi-value algebras insert ignore into journalissuearticles values(MV-algebras);, Gödel algebras, and product algebras are particular cases of BL-algebras. Moreover, BL-algebras are algebraic structures, and their principal examples are the real interval $[0, 1]$ with the structure given by a continuous $t$-norm and abelian $l$-groups. In this article, we consider a type of derivation structure on BL-algebras. We study $insert ignore into journalissuearticles values(\\odot,\\vee);$-permuting tri-derivations of BL-algebras and their examples and basic properties. We obtain results regarding the trace of $insert ignore into journalissuearticles values(\\odot,\\vee);$-permuting derivations on Gödel BL-algebras. Finally, the article presents that the results herein can be generalized in future research.
Keywords : BL algebra, permuting tri derivation, Boolean algebra, isotone, trace

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