A cartesian closed subcategory of topological molecular lattices

Document Type : Original Article


1 Department of Mathematics, Sirjan University of technology

2 Department of Mathematics, University of Hormozgan, Bandarabbas, Iran



A category C is called cartesian closed provided that it has finite products and for each C-object A the functor (A×−) : A → A has a right adjoint. It is well known that the category TML of topological molecular lattices with generalized order homomorphims in the sense of Wang is both complete and cocomplete, but it is not cartesian closed. In this paper, we introduce a cartesian closed subcategory of this category.