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The Core of a Module over a Two-Dimensional Regular Local Ring

✍ Scribed by Radha Mohan

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
215 KB
Volume
189
Category
Article
ISSN
0021-8693

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✦ Synopsis

This paper explicitly determines the core of a torsion-free, integrally closed module over a two-dimensional regular local ring. It is analogous to a result of Huneke and Swanson which determines the core of an integrally closed ideal. The main result asserts that the core of a finitely generated, torsion-free, integrally closed module over a two-dimensional regular local ring is the product of the module and a certain Fitting ideal of the module. The technical tools used are quadratic transforms and Buchsbaum᎐Rim multiplicity.

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