BL-Algebras with Permuting Tri-Derivations

Home Page
About
Submit A Journal
Submit A Conference
Submit Paper/Book
- Submit a Preprint
- Submit a Book
Contact

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

BL-Algebras with Permuting Tri-Derivations

Pages : 1-9

View : 118 | 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

ORIGINAL ARTICLE URL

* There may have been changes in the journal, article,conference, book, preprint etc. informations. Therefore, it would be appropriate to follow the information on the official page of the source. The information here is shared for informational purposes. IAD is not responsible for incorrect or missing information.