Some Implicativities for Groupoids and BCK -Algebras

In Ho Hwang, Hee Sik Kim and Joseph Neggers
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In Ho Hwang: Department of Mathematics, Incheon National University, Incheon 22012, Korea
Hee Sik Kim: Department of Mathematics, Research Institute of Natural Sciences, Hanyang University, Seoul 04763, Korea
Joseph Neggers: Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, USA

Mathematics, 2019, vol. 7, issue 10, 1-8

Abstract: In this paper, we generalize the notion of an implicativity discussed in B C K -algebras, and apply it to some groupoids and B C K -algebras. We obtain some relations among those axioms in the theory of groupoids.

Keywords: groupoid; d -algebra; BCK -algebra; (weakly) ( i -)implicative; condition ( L i ) (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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