论文信息 - Reduction Numbers of Ideals

Reduction Numbers of Ideals

Abstract We give general bounds for the reduction numbers of ideals in arbitrary Noetherian rings and multiplicity-dependent bounds for m -primary ideals in a Noetherian local ring (R, m ). In the case of polynomial rings over fields the bound is a non-elementary function with four levels of exponentiation; for primary ideals the bound is linear in the Samuel multiplicity of the ideal. Finally we extend these techniques to generic complete intersections of dimension one.

Wolmer V. Vasconcelos | W. Vasconcelos

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