On Convex Subnearlattices of a Medial Nearlattice.

In this paper, introducing the notion of prime convex subnearlattices the authors generalize the Stone's representation theorem for convex subnearlattices of a distributive medial nearlattice. They also show that a distributive medial nearlattice is relatively complemented if and only if its prime convex subnearlattices are unordered. Then they study the congruences of a distributive medial nearlattice containing a convex subnearlattice as a class. [ABSTRACT FROM AUTHOR]