Coz-onto Frame Maps and Some Applications

Author: Dube Themba  

Publisher: Springer Publishing Company

ISSN: 0927-2852

Source: Applied Categorical Structures, Vol.15, Iss.1-2, 2007-04, pp. : 119-133

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Abstract

A frame homomorphism is coz-onto if it maps the cozero part of its domain surjectively onto that of its codomain. This captures the notion of a z</i>-embedded subspace of a topological space in a point-free setting. We give three different types of characterizations of coz-onto homomorphisms. The first is in terms of elements, the second in terms of quotients, and the last in terms of ideals. As an application of properties of coz-onto homomorphisms developed herein, we present some characterizations of </equationsource> - and </equationsource> -frames.