Quadratical groupoids

Authors

  • Vladimir Volenec

DOI:

https://doi.org/10.1285/i15900932v13n1p107

Abstract

A groupoid $(Q,·)$ is said to be quadratical if the identity (1) $$ab· a = ca · bc$$ holds and if $(Q,·)$ is a right quasigroup, i.e. for any $a, b∈ Q$ the equation $ax = b$ has the unique solution x. Quadratical groupoids arose originally from the geometric situation described in Example 3 below.In this paper we study abstract quadratical groupoids and certain derived algebraic structures.

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Published

01-01-1993

Issue

Volume 13, Issue 1 (1993)

Section

Articoli

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