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Algebra i logika, 2019, Volume 58, Number 4, Pages 500–511
DOI: https://doi.org/10.33048/alglog.2019.58.406 (Mi al912) 		 
Asymptotic rank theorems

K. V. Storozhuk

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (164 kB)
DOI: https://doi.org/10.33048/alglog.2019.58.406
Abstract: Let $A$ be a numerical $k\times\infty$-matrix such that minors $A_I$ of order $k$ tend to zero if numbers of all columns forming these minors tend to infinity. It is shown that there exits a nontrivial linear combination of rows in $A$ which is a sequence tending to zero.
Keywords: $k\times\infty$-matrix, asymptotic rank.
Received: 17.11.2018
Revised: 08.11.2019
English version:
Algebra and Logic, 2019, Volume 58, Issue 4, Pages 337–344
DOI: https://doi.org/10.1007/s10469-019-09555-x
Bibliographic databases:
Document Type: Article
UDC: 512.64
Language: Russian
Citation: K. V. Storozhuk, “Asymptotic rank theorems”, Algebra Logika, 58:4 (2019), 500–511; Algebra and Logic, 58:4 (2019), 337–344
Citation in format AMSBIB
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\by K.~V.~Storozhuk
\paper Asymptotic rank theorems
\jour Algebra Logika
\yr 2019
\vol 58
\issue 4
\pages 500--511
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\transl
\jour Algebra and Logic
\yr 2019
\vol 58
\issue 4
\pages 337--344
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    		Алгебра и логика Algebra and Logic
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