An investigation on regular relations of universal hyperalgebras

In this paper, by considering the notion of \Sigma-hyperalgebras for an arbitrary signature \Sigma, we study the notions of regular and strongly regular relations on a \Sigma-hyperalgebra, \mathfrak{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 \mathfrak{A} and the set of complete parts of \mathfrak{A}.

کلیدواژه ها:

Universal algebras ، Regular relation ، Fundamental relation ، Complete part