Quadratical groupoids


Abstract


A groupoid (Q,·) is said to be quadratical if the identity (1)
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.

DOI Code: 10.1285/i15900932v13n1p107

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