English

When is a Squarefree Monomial Ideal of Linear Type ?

Commutative Algebra 2014-09-25 v2

Abstract

In 1995 Villarreal gave a combinatorial description of the equations of Rees algebras of quadratic squarefree monomial ideals. His description was based on the concept of closed even walks in a graph. In this paper we will generalize his results for all squarefree monomial ideals by using a definition of even walks in a simplicial complex.

Cite

@article{arxiv.1309.1771,
  title  = {When is a Squarefree Monomial Ideal of Linear Type ?},
  author = {Ali Alilooee and Sara Faridi},
  journal= {arXiv preprint arXiv:1309.1771},
  year   = {2014}
}

Comments

15 pages, 8 figures, To appear in Commutative Algebra and Noncommutative Algebraic Geometry and Representation Theory

R2 v1 2026-06-22T01:22:28.536Z