ABSTRACT

Examples: (1) First, we shall consider the case of f rames. Let L be a f ram e and let a € L. If j is a nucleus on L with j(a) = a, then b\a € Lj for all b € L. It is not ha rd to see t h a t S = {b\a I b € L) is a f ram e quotient of L, since it is closed under infs (we h a v e infa (ba \a) = (supo-b^.) \ a and c\(b\a) = (c^b)\a.