On the relation of negations in Nelson algebras
Conrado Gomez, Miguel Andrés Marcos, Hernán Javier San Martín · Reports on Mathematical Logic · 2021
The aim of this paper is to investigate the relation between the strong and the "weak" or intuitionistic negation in Nelson algebras. To do this, we define the variety of Kleene algebras with intuitionistic negation and explore the Kalman's construction for pseudocomplemented distributive lattices. We also study the centered algebras of this variety.