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On Pre-Commutative Algebras

Author

Listed:
  • 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)

  • Sun Shin Ahn

    (Department of Mathematics Education, Dongguk University, Seoul 04620, Korea)

Abstract

In this paper, we introduce the notions of generalized commutative laws in algebras, and investigate their relations by using Smarandache disjointness. Moreover, we show that every pre-commutative B C K -algebra is bounded.

Suggested Citation

  • Hee Sik Kim & Joseph Neggers & Sun Shin Ahn, 2019. "On Pre-Commutative Algebras," Mathematics, MDPI, vol. 7(4), pages 1-7, April.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:4:p:336-:d:220878
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    Cited by:

    1. 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.

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