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On classical Krull dimension of group-graded rings

Published online by Cambridge University Press:  17 April 2009

A. V. Kelarev
A. V. Kelarev
Affiliation:
Department of Mathematics, The University of Tasmania, GPO Box 252–37, Hobart Tas 7001, Australia e-mail: kelarev@hilbert.maths.utas.edu.au
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For any ring R graded by a finite group, we give a bound on the classical Krull dimension of R in terms of the dimension of the initial component Re. It follows that if Re has finite classical Krull dimension, then the same is true of the whole ring R, too.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 55 , Issue 2 , April 1997 , pp. 255 - 259
Copyright
Copyright © Australian Mathematical Society 1997

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