An investigation on regular relations of universal hyperalgebras

In this paper, by considering the notion of Σ-hyperalgebras for an arbitrary signature Σ, we study the notions of regular and strongly regular relations on a Σ-hyperalgebra, A. We show that each regular relation which contains a strongly regular relation is a strongly regular relation. Then we concentrate on the connection between the fundamental relation of A and the set of complete parts of A.

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