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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Krull versus global dimension in Noetherian P.I. rings


Authors: K. R. Goodearl and L. W. Small
Journal: Proc. Amer. Math. Soc. 92 (1984), 175-178
MSC: Primary 16A33; Secondary 16A38, 16A55, 16A60
MathSciNet review: 754697
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Abstract: The Krull dimension of any noetherian P.I. ring is bounded above by its global (homological) dimension (when finite).


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0754697-8
PII: S 0002-9939(1984)0754697-8
Keywords: Noetherian ring, polynomial identity, Krull dimension, homological dimension
Article copyright: © Copyright 1984 American Mathematical Society