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Locally Unmixed Modules and Ideal Topologies

โœ Scribed by R Naghipour

Book ID
102571111
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
95 KB
Volume
236
Category
Article
ISSN
0021-8693

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โœฆ Synopsis

Let R be a commutative Noetherian ring, and let N be a non-zero finitely generated R-module. In this paper, the main result asserts that N is locally unmixed if and only if, for any N-proper ideal แ‘พ of R generated by ht แ‘พ N ลฝ . ลฝ n. elements, the topology defined by แ‘พ N , n G 0, is equivalent to the แ‘พ-adic topology.

๐Ÿ“œ SIMILAR VOLUMES

Multiplicities and a Dimension Inequalit
Multiplicities and a Dimension Inequality for Unmixed Modules
โœ Sean Sather-Wagstaff ๐Ÿ“‚ Article ๐Ÿ“… 2001 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 137 KB

We prove the following result, which is motivated by the recent work of Kurano and Roberts on Serre's positivity conjecture. Assume that R is a local ring with finitely generated module M such that R/Ann M is quasi-unmixed and contains a field, and that and are prime ideals in the support of M such