No abstract

All rings considered in this paper are associative with an identity element and all modules are unitary. Homomorphisms of right modules will be wirtten on the left hand side. We shall use the following notation: L* is the dual of a partially ordered set L; End(X) and L(X) are the endomorphism ring and the submodule lattice of a module X.We recall some definitions and results. An element c of a complete lattice L isthere exists do e D such that c = do-A complete lattice L is called (weakly) algebraic if every element in L is a join of (weakly) compact elments. A complete lattice L is called upper continuous if a /\ (V

No abstract

No abstract

No abstract