English

Powers of Monomial Ideals and Combinatorics

Commutative Algebra 2018-09-21 v1

Abstract

This is an exposition of some new results on associated primes and the depth of different kinds of powers of monomial ideals in order to show a deep connection between commutative algebra and some objects in combinatorics such as simplicial complexes, integral points in polytopes and graphs.

Keywords

Cite

@article{arxiv.1809.07464,
  title  = {Powers of Monomial Ideals and Combinatorics},
  author = {Le Tuan Hoa},
  journal= {arXiv preprint arXiv:1809.07464},
  year   = {2018}
}

Comments

26 pages

R2 v1 2026-06-23T04:12:18.252Z