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The Problem of Global Nilpotency

  • A. I. Kostrikin
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE3, volume 20)

Abstract

Theorem 1.7.4 is optimal in a very definite sense of that word. We shall show in § 3 below that it ceases to hold if the local condition is removed from the statement. In such a case, we say that a Lie algebra L with Ep-1 (p is the characteristic of the ground field) is not globally nilpotent.

Keywords

Associative Algebra Free Algebra Verbal Ideal Nilpotency Class Nilpotent Ideal 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • A. I. Kostrikin
    • 1
  1. 1.V. A. Steklov InstituteMoscowUSSR

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