On 2-absorbing z-filters

Abstract

In this work, 2-absorbing z-filters on a topological space X are defined and their general properties are examined. Moreover, the convergence of 2-absorbing z-filters is studied. A correspondence between 2-absorbing z-filters on X and 2-absorbing z-ideals of the ring C(X) of all real-valued continuous functions on X is given. © 2018 Societatea de Stiinte Matematice din Romania. All rights reserved.