Low separation axioms in primal spaces and the Zariski Topology

Abstract

In this paper, we give characterizations of the primal spaces that satisfy some separation axioms between \(T_0\) and \(T_1\) in terms of the function that generates the topology, and we establish which axioms are equivalent in this context. We also give a characterization of the rings whose prime spectrum, endowed with the Zariski topology, is a primal space.