Representation of slim algebraic regular cozero maps

Abstract

In this paper a new tool, the cozero maps, is introduced to study algebraic structures in pointfree topology, which generalizes cozero elements and the cozero part of a frame. The slim regular algebraic cozero maps are represented. We proved that they are cι or sι up to isomorphism and, if c : M → L is a slim regular algebraic cozero map, then M is archimedean and L is algebraic completely regular.