%0 Journal Article %T A cartesian closed subcategory of topological molecular lattices %J Khayyam Journal of Mathematics %I Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with the Center of Excellence in Analysis on Algebraic Structures) %Z 2423-4788 %A Mirhosseinkhani, Ghasem %A Akbarpour, Mahboobeh %D 2021 %\ 01/01/2021 %V 7 %N 1 %P 32-39 %! A cartesian closed subcategory of topological molecular lattices %K Topological molecular lattices %K Exponentiable object %K Cartesian closed category %R 10.22034/kjm.2020.117858.1095 %X 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. %U https://www.kjm-math.org/article_123047_ba83a4356cfaf58601dadafd004634b7.pdf