English

Special Stanley Decompositions

Commutative Algebra 2010-11-09 v2

Abstract

Let II be an intersection of three monomial prime ideals of a polynomial algebra SS over a field. We give a special Stanley decomposition of II which provides a lower bound of the Stanley depth of II, greater than or equal to \depth (I)\depth\ (I), that is, Stanley's Conjecture holds for II.

Keywords

Cite

@article{arxiv.1008.2924,
  title  = {Special Stanley Decompositions},
  author = {Adrian Popescu},
  journal= {arXiv preprint arXiv:1008.2924},
  year   = {2010}
}
R2 v1 2026-06-21T16:01:58.880Z