# A cartesian closed subcategory of topological molecular lattices

Document Type : Original Article

Authors

1 Department of Mathematics, Sirjan University of technology

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

10.22034/kjm.2020.117858.1095

Abstract

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.

Keywords