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Algebraic sets in metabelian groups

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Algebra and Logic Aims and scope

Abstract

The research launched in [1] is brought to a close by examining algebraic sets in a metabelian group G in two important cases: (1) G = Fn is a free metabelian group of rank n; (2) G = Wn,k is a wreath product of free Abelian groups of ranks n and k.

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References

  1. V. N. Remeslennikov and N. S. Romanovskii, “Irreducible algebraic sets in metabelian groups,” Algebra Logika, 44, No. 5, 601–621 (2005).

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  2. G. Baumslag, A. Myasnikov, and V. N. Remeslennikov, “Algebraic geometry over groups. I: Algebraic sets and ideal theory,” J. Alg., 219, No. 1, 16–79 (1999).

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  3. A. Myasnikov and V. N. Remeslennikov, “Algebraic geometry over groups. II. Logical foundations,” J. Alg., 234, No. 1, 225–276 (2000).

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Authors and Affiliations

  1. Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, Russia

    N. S. Romanovskii

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  1. N. S. Romanovskii
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Supported by RFBR grant No. 05-01-00292.

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Translated from Algebra i Logika, Vol. 46, No. 4, pp. 503–513, July–August, 2007.

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Romanovskii, N.S. Algebraic sets in metabelian groups. Algebr Logic 46, 274–280 (2007). https://doi.org/10.1007/s10469-007-0026-y

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  • DOI: https://doi.org/10.1007/s10469-007-0026-y

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