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Prime Ideals in Vector Lattices

Published online by Cambridge University Press:  20 November 2018

D. G. Johnson  and
J. E. Kist
D. G. Johnson
Affiliation:
The Pennsylvania State University
J. E. Kist
Affiliation:
The Pennsylvania State University
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Projectors, spectral functions, carriers, and collections of these objects are some of the tools which have been used to study vector lattices. One of our objectives in this paper is to show that these various approaches are not essentially different. We do this by proving that each of the above-mentioned objects can be identified with a collection of prime ideals.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 14 , 1962 , pp. 517 - 528
Copyright
Copyright © Canadian Mathematical Society 1962

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