Representations of the Fundamental Relations in Universal Hyperalgebras
A. Karimi Feizabadi,M. Mahmoudi and M.M. Ebrahimi
Three representations of the fundamental relation of hypergroupoids have been given by Migliorato, Spartalis, and Vougiouklis.
In this paper, first, using some of the earlier results of the authors, we generalize and study the notion of the regular relation from classic hyperstructures to (general) universal hyperalgebras, and get the notion of the fundamental relation ζ * for these hyperalgebras.
Finally, we generalize the above mentioned three representations of the fundamental relation to (general) universal hyperalgebras.
Keywords: Universal hyperalgebra, fundamental relation, representation, hypergroupoid