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On medial-like quasigroups
by
Mirko Polonijo
Department of Mathematics, University of Zagreb, Croatia
Starting from the medial law ab ·cd = ac ·bd, we are studing all identities of the form ab ·cd = f (a) f (b) ·f (c) f (d) (where f is a permutation on {a, b, c, d }), on the set of all quasigroups. It can be shown that most of them characterise commutative medial quasigroups.
Date received: March 9, 2000
Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadz-46.