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On the Stability of Graded Rings

โœ Scribed by H.S. Li

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
559 KB
Volume
169
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

Let (R=\oplus_{n \in \mathbb{Z}} R_{n}) be a left Noetherian, left graded regular (\mathbb{Z})-graded ring (i.e., every finitely generated graded (R)-module has finite projective dimension). We prove that if every finitely generated graded projective (R)-module is graded stably free then every finitely generated projective (R)-module is stably free. Some applications of this result to graded rings and Rees rings of Zariskian filtered rings are also given. 1994 Academic Press, Inc

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