English

On the behavior of the size of a monomial ideal

Commutative Algebra 2016-02-26 v1

Abstract

In this paper we study the behavior of the size of a monomial ideal under polarization and under generic deformations. As an application, we extend a result relating the size and the Stanley depth of a squarefree monomial ideal obtained by Herzog, Popescu and Vladoiu, together with a parallel result obtained by Tang.

Keywords

Cite

@article{arxiv.1602.08025,
  title  = {On the behavior of the size of a monomial ideal},
  author = {Bogdan Ichim and Andrei Zarojanu},
  journal= {arXiv preprint arXiv:1602.08025},
  year   = {2016}
}