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Topological dimensions for u-groups

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Abstract

We study some problems connected with algebraic geometry over a free metabelian group. We introduce the notions of topological dimensions which are based on the lengths of chains of irreducible closed sets, and study these dimensions.

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References

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Authors and Affiliations

  1. Omsk Division of the Sobolev Institute of Mathematics, Omsk, Russia

    V. N. Remeslennikov

  2. Novosibirsk State University of Architecture and Building, Novosibirsk, Russia

    E. I. Timoshenko

Authors
  1. V. N. Remeslennikov
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  2. E. I. Timoshenko
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Additional information

Original Russian Text Copyright © 2006 Remeslennikov V. N. and Timoshenko E. I.

Both authors were supported by the Russian Foundation for Basic Research (Grant 05.01.00292). Moreover, the second author was supported by the Scientific Program “Basic Research in Higher School: Universities of Russia” of the Ministry for Education of the Russian Federation (Grant UR.04.01.031).

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Translated from Sibirski \(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Matematicheski \(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Zhurnal, Vol. 47, No. 2, pp. 414–430, March–April, 2006.

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Remeslennikov, V.N., Timoshenko, E.I. Topological dimensions for u-groups. Sib Math J 47, 341–354 (2006). https://doi.org/10.1007/s11202-006-0047-0

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  • DOI: https://doi.org/10.1007/s11202-006-0047-0

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