821 citations
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Showing 2007 · math.ACShow all
3 papers · 2 filters
math.AC2007★ 1 cited
Castelnuovo-Mumford regularity and reduction number of smooth monomial curves
Michael Hellus, Lê Tuân Hoa, Jürgen Stückrad
We compare, for smooth monomial projective curves, the Castel- nuovo-Mumford regularity and the reduction number; we present an example where these two numbers differ. However, we…
math.AC2007
Reducing system of parameters and the Cohen--Macaulay property
Bjorn Maurer, Jurgen Stuckrad
Let be a local ring and let ($x_1\biss x_r$) be part of a system of parameters of a finitely generated -module where . We will show that if ($y_1\biss y_r…
math.AC2007
A Note on the injective dimension of local cohomology modules
Michael Hellus
For a noetherian ring R we call an R-module M cofinite if there exists an ideal I of R such that M is I-cofinite; we show that every cofinite module M satisfies dim_R(M)<=injdimR(M…