On $B$-algebras

Authors

  • J. Neggers Department of Mathematics, University of Alabama, Tuscalosa, AL 35487-0350, U.S.A. Author
  • Hee Sik Kim Department of Mathematics, Hanyang University, Seoul 133-791, Korea Author

Keywords:

$B$-algebra, commutative, derived algebra

Subjects:

06F35

Abstract

In this paper we introduce and investigate a class of algebras which is related to several classes of algebras of interest such as $BCH/BCI/BCK$-algebras and which seems to have rather nice properties without being excessively complicated otherwise. Furthermore, a digraph on algebras defined below demonstrates a rather interesting connection between $B$-algebras and groups.

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Published

2002-04-15