سعید رسولی

This paper is devoted to study the notion of topological residuated lattices and to investigate their properties. We show that the Boolean center of a topological residuated lattice is a topological Boolean algebra with the induced topology. Furthermore, the conditions under which the closure of a subalgebra, a filter or a normal filter on a topological residuated lattice is a subalgebra, a filter or a normal filter, respectively, are established.