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Ternary structures and hypergroupoids
by
Daniel Hort
Dept. of Algebra and Geometry, Palacký University Olomouc, Czech Republic
Coauthors: Miroslav Novotný
Any ternary structure may be expressed as a multiplicatively described ternary structure. Homomorphisms and strong homomorphisms of ternary structures coincide with homomorphisms and strong homomorphisms of multiplicatively described ternary structures. Multiplicatively described ternary structures with particular properties are in fact hypergroupoids. Various properties of multiplicatively described ternary structures and the corresponding properties of ternary structures are quoted. It is intended to use ternary structures for the study of hypergroupoids and conversely.
Date received: January 3, 2001
Copyright © 2001 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 # cafo-50.