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Asymptotic Rank Theorems

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Algebra and Logic Aims and scope

Let A be a numerical k ×∞-matrix such that minors AI 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.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk, 630090, Russia

    K. V. Storozhuk

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  1. K. V. Storozhuk
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Correspondence to K. V. Storozhuk.

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Translated from Algebra i Logika, Vol. 58, No. 4, pp. 500-511, July-August, 2019.

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Storozhuk, K.V. Asymptotic Rank Theorems. Algebra Logic 58, 337–344 (2019). https://doi.org/10.1007/s10469-019-09555-x

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  • DOI: https://doi.org/10.1007/s10469-019-09555-x

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