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Krull versus global dimension in Noetherian P.I. rings

  • Published:1984 Issue:2 Volume:92 Page:175-178
  • ISSN:0002-9939
  • Container-title:Proceedings of the American Mathematical Society
  • language:en
  • Short-container-title:Proc. Amer. Math. Soc.

Author:

Goodearl K. R.,Small L. W.

Abstract

The Krull dimension of any noetherian P.I. ring is bounded above by its global (homological) dimension (when finite).

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference7 articles.

1. Prime rings having polynomial identities with arbitrary coefficients;Amitsur, S. A.;Proc. London Math. Soc. (3),1967

2. Krull and global dimensions of fully bounded Noetherian rings;Brown, Kenneth A.;Proc. Amer. Math. Soc.,1984

3. Direct products of modules;Chase, Stephen U.;Trans. Amer. Math. Soc.,1960

4. On the global dimension of some rings;McConnell, John C.;Math. Z.,1977

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