Mathematics – Commutative Algebra
Scientific paper
2004-03-03
Mathematics
Commutative Algebra
Scientific paper
Let $k$ be a field. We determine the ideals $I$ in a finitely generated
graded $k$-algebra $A$, whose associated graded rings are isomorphic to $A$.
Also we compute the graded local cohomologies of the Rees rings $A[I t]$ and
give the condition for $A[I t]$ to be generalized Cohen-Macaulay.
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