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Algebra and Discrete Mathematics, 2010, Volume 10, Issue 1, Pages 1–7 (Mi adm35)  
This article is cited in 3 scientific papers (total in 3 papers)

RESEARCH ARTICLE

Partitions of groups and matroids into independent subsets

Taras Banakha, Igor Protasovb

a Department of Mathematics, Ivan Franko National University of Lviv, Universytetska 1, 79000 Lviv, Ukraine
b Department of Cybernetics, Kyiv National University, Volodymyrska 64, 01033 Kyiv, Ukraine
Full-text PDF (201 kB) Citations (3)
Abstract: Can the set $\mathbb R\setminus\{0\}$ be covered by countably many linearly (algebraically) independent subsets over the field $\mathbb Q$? We use a matroid approach to show that an answer is “Yes” under the Continuum Hypothesis, and “No” under its negation.
Keywords: matroid, partition, independent subset.
Received: 04.10.2010
Revised: 04.10.2010
Bibliographic databases:
Document Type: Article
MSC: 05B35, 05A18
Language: English
Citation: Taras Banakh, Igor Protasov, “Partitions of groups and matroids into independent subsets”, Algebra Discrete Math., 10:1 (2010), 1–7
Citation in format AMSBIB
\Bibitem{BanPro10}
\by Taras Banakh, Igor Protasov
\paper Partitions of groups and matroids into independent subsets
\jour Algebra Discrete Math.
\yr 2010
\vol 10
\issue 1
\pages 1--7
\mathnet{http://mi.mathnet.ru/adm35}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2807683}
\zmath{https://zbmath.org/?q=an:1224.05084}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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