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IMI/Publicaţii/QRS/Ediţii/QRS v.8, n.1 (8), 2001/

On quadratic B-algebras

Authors: Park H. K., Kim H. S.

Abstract

In this paper we introduce the notion of quadratic B-algebra which is a medial quasigroup, and obtain that every quadratic B-algebra on a field X with |X | > =3, is a BCI-algebra.

Hee Kon Park
Department of Engineering Sciences,
Hanyang University,
Seoul 133-791,
Korea
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Hee Sik Kim
Department of Mathematics,
Hanyang University,
Seoul 133-791,
Korea.
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