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General Implicativity in Groupoids

Author

Listed:
  • Feng Feng

    (Department of Applied Mathematics, School of Science, Xi’an University of Posts and Telecommunications, Xi’an 710121, China
    Shaanxi Key Laboratory of Network Data Analysis and Intelligent Processing, Xi’an University of Posts and Telecommunications, Xi’an 710121, China)

  • 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

There are several equivalent axioms, which can be used to characterize the positive implicativity in B C K -algebras. In this paper, we investigate interrelationships among such axioms in a more general setting of groupoids, and several aspects regarding their differences in the theory of groupoids.

Suggested Citation

  • Feng Feng & Hee Sik Kim & Joseph Neggers, 2018. "General Implicativity in Groupoids," Mathematics, MDPI, vol. 6(11), pages 1-8, October.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:11:p:235-:d:179522
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