A note on medial quasigroups - Mathematical Communications, Vol.11 No.1 July 2006.Report as inadecuate




A note on medial quasigroups - Mathematical Communications, Vol.11 No.1 July 2006. - Download this document for free, or read online. Document in PDF available to download.

Mathematical Communications, Vol.11 No.1 July 2006. -

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).

medial quasigroup; parallelogram



Author: V. Volenec - V. Krčadinac -

Source: http://hrcak.srce.hr/



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