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Gelfand-Kirillov Dimension is Exact for Noetherian PI Algebras

Published online by Cambridge University Press:  20 November 2018

T. H. Lenagan
T. H. Lenagan*
Affiliation:
University of UtahSalt Lake City, Utah84112
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Abstract

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If O → A → C → B → O is a short exact sequence of finitely generated modules over a Noetherian Pi-algebra then we show that GK(C) = max{GK(A), GK(B)}.

Keywords

16A3316A3816A55
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 27 , Issue 2 , 01 June 1984 , pp. 247 - 250
Copyright
Copyright © Canadian Mathematical Society 1984

References

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