Prime Ideals in Vector Lattices
- 1 January 1962
- journal article
- Published by Canadian Mathematical Society in Canadian Journal of Mathematics
- Vol. 14, 517-528
- https://doi.org/10.4153/cjm-1962-043-3
Abstract
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.Keywords
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