English

Stanley Conjecture in small embedding dimension

Commutative Algebra 2011-01-24 v1

Abstract

We show that Stanley's conjecture holds for a polynomial ring over a field in four variables. In the case of polynomial ring in five variables, we prove that the monomial ideals with all associated primes of height two, are Stanley ideals.

Keywords

Cite

@article{arxiv.math/0702728,
  title  = {Stanley Conjecture in small embedding dimension},
  author = {Imran Anwar and Dorin Popescu},
  journal= {arXiv preprint arXiv:math/0702728},
  year   = {2011}
}

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5 pages