Original scientific paper

A note on medial quasigroups

V. Volenec
V. Krčadinac

Abstract

In this short note we prove two results about medial quasigroups.
First, let φ and ψ be binary operations defined by multiplication, left and right division in a medial quasigroup. Then φ and ψ are mutually medial, i.e. φ(ψ(a,b),ψ(c,d))=ψ(φ(a,b),φ(c,d)).
Second, four points a, b, c, d in an idempotent medial quasigroup form a parallelogram if and only if d=(a/b)(b\c).

Keywords

medial quasigroup; parallelogram

Hrčak ID:

4179

URI

https://hrcak.srce.hr/4179

Publication date:

20.7.2006.

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