On the Lattice of L-closure Operators

Raji George, T. P.Johnson

Abstract: In this paper we proved that the lattice of all L-closure operators on a fixed set X is not modular. We identified the infra L-closure operators and ultra L-closure operators. Also established the relation between ultra L-topologies and ultra L-closure operators.

Keywords: L - closure operator, ultra L-topology, ultra L-closure operator, infra L-closure operator