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On the Sum of Homological Dimension and Codimension of Modules over a Semi-local Ring

Published online by Cambridge University Press:  22 January 2016

Samuel S.H. Young
Samuel S.H. Young*
Affiliation:
University of Hongkong
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Let M be a finitely generated module over a regular local ring R. It is well known that the sum of homological dimension and codimension of M is equal to the global dimension of R. For modules over an arbitrary ring, this is in general not true. The purpose of this paper is to investigate the properties of such sums in the semi-local case.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 33 , November 1968 , pp. 165 - 172
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1968

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