Ideals whose associated graded rings are isomorphic to the base rings
Abstract
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 CohenMacaulay.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 March 2004
 arXiv:
 arXiv:math/0403058
 Bibcode:
 2004math......3058T
 Keywords:

 Commutative Algebra;
 13A30;
 13D45