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On quadratic B-algebras
Authors: Park H. K., Kim H. S.
– 0.17 Mb
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
_______________
Hee Sik Kim
Department of Mathematics,
Hanyang University,
Seoul 133-791,
Korea.
E-mail:
Department of Engineering Sciences,
Hanyang University,
Seoul 133-791,
Korea
_______________
Hee Sik Kim
Department of Mathematics,
Hanyang University,
Seoul 133-791,
Korea.
E-mail:
Fulltext
– 0.17 Mb
Contents
- On B-algebras and quasigroups
- Non-associative algebraic system in cryptology. Protection against "meet in the middle" attack
- On some old and new problems in n-ary groups
- Transversals in groups. 3.Semidirect product of a transversal operation and subgrouop
- Subtree-counting loops
- On quadratic B-algebras
- Algebras of vector-valued functions
- Representations of positional algebras
- The abstract groups (3, 3 | 3, p), their subgroup structure, and their significance for Paige loops
