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Multiplicities and Reduction Numbers
Published online by Cambridge University Press: 04 December 2007
Abstract
Let (R, ${\frak {m}}$) be a Cohen–Macaulay local ring and let I be an ideal. There are at least five algebras built on I whose multiplicity data affect the reduction number r(I) of the ideal. We introduce techniques from the Rees algebra theory of modules to produce estimates for r(I), for classes of ideals of dimension one and two. Previous cases of such estimates were derived for ideals of dimension zero.
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- © 2003 Kluwer Academic Publishers
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