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Lifting Ore Sets of Noetherian Filtered Rings and Applications

✍ Scribed by Li Huishi

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 256 KB
Volume: 179
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.0031

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✦ Synopsis

R be a filtered ring such that the Rees ring R of R is left Noetherian. It is Ž . observed that if T is a left Ore set of the associated graded ring G R consisting of Ä Ž. 4 homogeneous elements then the saturated set S s s g R, s g T is a left Ore set of R. This lifting property is used to obtain local-global results on R Ž . which simplify some microlocal-global results in the literature. If G R is positively graded and commutative then certain structure sheaves on R are constructed.

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