A Little More on Coz-Unique Frames |
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Authors: | Themba Dube |
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Affiliation: | (1) Department of Mathematical Sciences, University of South Africa, P.O. Box 392, 0003 Unisa, South Africa |
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Abstract: | Coz-unique frames were defined and characterized by Banaschewski and Gilmour (J Pure Appl Algebra 157:1–22, 2001). In this note we give further characterizations of these frames along the lines of characterizations of absolutely z-embedded spaces obtained by Blair and Hager (Math Z 136:41–52, 1974) on the one hand, and by Hager and Johnson (Canad J Math 20:389–393, 1968) on the other. We also extend to frames certain characterizations of z-embedded spaces; namely, we give a characterization of coz-onto frame homomorphisms in terms of normal covers. |
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Keywords: | Frame Frame quotient Coz-unique Coz-onto P-quotient Normal cover |
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