On the category of Nelson paraconsistent lattices.

We present an equivalence between the category of Nelson Paraconsistent lattices (NPc-lattices) and a category of pairs of Brouwerian algebras and regular filters. Specializing such category of pairs to Godel hoops, we get the subvariety of Godel NPc-lattices and, using the dual equivalence of finite Godel hoops with finite trees, we obtain a duality for finite Godel NPc-lattices. This duality is used to describe finitely generated free Godel NPc-lattices.