TY - JOUR TI - On the relation of negations in Nelson algebras AU - Gomez, Conrado AU - Marcos, Miguel Andres AU - San Martin, Hernan Javier TI - On the relation of negations in Nelson algebras AB - 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. VL - 2021 IS - Number 56 PY - 2021 SN - 0137-2904 C1 - 2084-2589 SP - 15 EP - 56 DO - 10.4467/20842589RM.21.002.14374 UR - https://ejournals.eu/en/journal/reports-on-mathematical-logic/article/on-the-relation-of-negations-in-nelson-algebras KW - negations KW - A Nelson algebras KW - pseudocomplemented distributive lattices KW - Kleene algebras.