Quadratical groupoids
Abstract
A groupoid
is said to be quadratical if the identity (1)
is a right quasigroup, i.e. for any
the equation
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.
![(Q,·)](http://siba-ese.unile.it/plugins/generic/latexRender/cache/34d421bb5647309bb250ceccdfcf7a59.png)
holds and if
![(Q,·)](http://siba-ese.unile.it/plugins/generic/latexRender/cache/34d421bb5647309bb250ceccdfcf7a59.png)
![a, b∈ Q](http://siba-ese.unile.it/plugins/generic/latexRender/cache/4320b41479028ff68a52e2945d5a9195.png)
![ax = b](http://siba-ese.unile.it/plugins/generic/latexRender/cache/56a546bfa2cb35f3a87ab31c926331b8.png)
DOI Code:
10.1285/i15900932v13n1p107
Full Text: PDF