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Homological stabilization for dedekind rings of the arithmetic type

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Ukrainian Mathematical Journal Aims and scope

We study the problem of stabilization in the higher K -theory of rings and improved stabilization. The triviality of the group of standard cycles is established in the case of rings of the arithmetic type. Some applications of the obtained results to the problem of homological stabilization are presented.

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Authors and Affiliations

  1. Samarkand State University, Samarkand, Uzbekistan

    B. R. Zainalov

  2. St. Petersburg Division of the Steklov Institute of Mathematics, Russian Academy of Sciences, St. Petersburg, Russia

    A. A. Suslin

Authors
  1. B. R. Zainalov
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  2. A. A. Suslin
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 11, pp. 1464–1476, November, 2012.

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Zainalov, B.R., Suslin, A.A. Homological stabilization for dedekind rings of the arithmetic type. Ukr Math J 64, 1658–1671 (2013). https://doi.org/10.1007/s11253-013-0742-5

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  • DOI: https://doi.org/10.1007/s11253-013-0742-5

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