Stabilization theorem for the Milnor K2-functor

A. A. Suslin, M. S. TuLenbaev

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

Let Λ be an associative ring. For every natural number n there is a canonical homomorphism ψn: K2,n(Λ)→K2(Λ), where K2 is the Milnor functor and K2,n(Λ) the associated unstable K-group. Dennis and Vasershtein have proved that if n is larger than the stable rank of Λ, ψn is an epimorphism. It is proved in the article that if n - 1 is greater than the stable rank of Λ, the homomorphism ψn is an isomorphism.

Original languageEnglish (US)
Pages (from-to)1804-1819
Number of pages16
JournalJournal of Soviet Mathematics
Volume17
Issue number2
DOIs
StatePublished - Sep 1 1981

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics

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