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Some Implicativities for Groupoids and BCK -Algebras

Author

Listed:
  • 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)

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.

Suggested Citation

  • In Ho Hwang & Hee Sik Kim & Joseph Neggers, 2019. "Some Implicativities for Groupoids and BCK -Algebras," Mathematics, MDPI, vol. 7(10), pages 1-8, October.
  • Handle: RePEc:gam:jmathe:v:7:y:2019:i:10:p:973-:d:276585
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    References listed on IDEAS

    as
    1. Hee Sik Kim & Joseph Neggers & Sun Shin Ahn, 2019. "On Pre-Commutative Algebras," Mathematics, MDPI, vol. 7(4), pages 1-7, April.
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