English

Monomial ideals whose powers have a linear resolution

Commutative Algebra 2007-05-23 v1 Rings and Algebras

Abstract

In this paper we consider graded ideals in a polynomial ring over a field and ask when such an ideal has the property that all of its powers have a linear resolution. In particular it is shown that all powers of a monomial ideal with 2-linear resolution have again a linear resolution.

Keywords

Cite

@article{arxiv.math/0307222,
  title  = {Monomial ideals whose powers have a linear resolution},
  author = {Juergen Herzog and Takayuki Hibi and Xinxian Zheng},
  journal= {arXiv preprint arXiv:math/0307222},
  year   = {2007}
}