Reduction Numbers of Ideals
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Wolmer V. Vasconcelos
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Article
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1999
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Elsevier Science
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English
โ 508 KB
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; fo