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Locally standard measure algebras

Published:2023-01-12 Issue: Volume: Page:
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Bezushchak Oksana¹^ORCID,Oliynyk Bogdana²³^ORCID

Affiliation:

1. Faculty of Mechanics and Mathematics, Taras Shevchenko National University of Kyiv, Volodymyrska 60, Kyiv 01033, Ukraine

2. Faculty of Applied Mathematics Silesian University of Technology, Kaszubska 23, Cliwice 44–100, Poland

3. Department of Mathematics, National University of Kyiv-Mohyla Academy, Skovorody 2, Kyiv 04070, Ukraine

Abstract

We parameterize countable locally standard Boolean measure algebras by pairs of a Steinitz number and a real number greater or equal to [Formula: see text] This is an analog of the theorems of Dixmier and Baranov.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498824500774

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