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- W1567953377 abstract "Let (R, m) be a d-dimensional Noetherian local ring and E a finitely generated R-submodule of a free module R p . In this work we introduce a multiplicity sequence ck(E), k = 0, . . . , d+p−1 for E that generalize the Buchsbaum-Rim multiplicity defined when E has finite colength in R p as well as the Achilles-Manaresi multiplicity sequence that applies when E ⊆ R is an ideal. Our main result is that the new multiplicity sequence can indeed be used to detect integral dependence of modules. Our proof is self-contained and implies known numerical criteria for integral dependence of ideals and modules." @default.
- W1567953377 created "2016-06-24" @default.
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- W1567953377 date "2007-01-01" @default.
- W1567953377 modified "2023-09-27" @default.
- W1567953377 title "A numerical characterization of reduction for arbitrary modules" @default.
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