On the algebraic dimension of Riesz spaces

We prove that the algebraic dimension of an infinite dimensional $C$-$\sigma$-complete Riesz space (in particular, of a Dedekind $\sigma$-complete and a laterally $\sigma$-complete Riesz space) with the principal projection property which either has a weak order unit or is not purely atomic, is at l...

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Bibliographic Details
Main Authors: N. M. Baziv, O. B. Hrybel
Format: Article
Language:deu
Published: Ivan Franko National University of Lviv 2021-10-01
Series:Математичні Студії
Subjects:
Online Access:http://matstud.org.ua/ojs/index.php/matstud/article/view/230
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