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The Ratliff-Rush Closure of Initial Ideals of Certain Prime Ideals

Commutative Algebra 2007-05-23 v2

Abstract

We prove that the initial ideal of the defining ideal of a monomial curve that corresponds to an almost arithmetic sequence of positive integers is Ratliff-Rush closed.

Keywords

Cite

@article{arxiv.math/0411422,
  title  = {The Ratliff-Rush Closure of Initial Ideals of Certain Prime Ideals},
  author = {Ibrahim Al-Ayyoub},
  journal= {arXiv preprint arXiv:math/0411422},
  year   = {2007}
}

Comments

8 pages. Submitted to the Rocky Mountain J. of Mathematics