Kodiyalam, Vijay ; Mohan, Radha (2015) Lengths and multiplicities of integrally closed modules over a two-dimensional regular local ring Journal of Algebra, 425 . pp. 392-409. ISSN 0021-8693
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Official URL: http://doi.org/10.1016/j.jalgebra.2014.12.008
Related URL: http://dx.doi.org/10.1016/j.jalgebra.2014.12.008
Abstract
Let (R, m) be a two-dimensional regular local ring with infinite residue field. We prove an analogue of the Hoskin–Deligne length formula for a finitely generated, torsion-free, integrally closed R-module M. As a consequence, we get a formula for the Buchsbaum–Rim multiplicity of F/M, where F= M⁎⁎.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Elsevier Science. |
| ID Code: | 123877 |
| Deposited On: | 19 Oct 2021 08:26 |
| Last Modified: | 19 Oct 2021 08:26 |
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