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On classical Krull dimension of group-graded rings

Citation

Kelarev, AV, On classical Krull dimension of group-graded rings, Bulletin of the Australian Mathematical Society, 55, (2) pp. 255-259. ISSN 0004-9727 (1997) [Refereed Article]

DOI: doi:10.1017/S000497270003392X

Abstract

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.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Pure Mathematics
Research Field:Algebra and Number Theory
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Kelarev, AV (Dr Andrei Kelarev)
ID Code:11496
Year Published:1997
Web of Science® Times Cited:4
Deposited By:Mathematics
Deposited On:1997-08-01
Last Modified:2011-08-12
Downloads:0

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