Ideals whose associated graded rings are isomorphic to the base rings

Yukihide Takayama

Ideals whose associated graded rings are isomorphic to the base rings

Commutative Algebra 2007-05-23 v1

Authors: Yukihide Takayama

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 Cohen-Macaulay.

Keywords

cohen-macaulay rings and modules ideal theory monomial ideals and free resolutions

Cite

@article{arxiv.math/0403058,
  title  = {Ideals whose associated graded rings are isomorphic to the base rings},
  author = {Yukihide Takayama},
  journal= {arXiv preprint arXiv:math/0403058},
  year   = {2007}
}

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