Stability of associated primes of monomial ideals

Abstract

Let $I$ be a monomial ideal of a polynomial ring $R$. In this paper we determine a number $B$ such that $\Ass (I^n/I^{n+1}) = \Ass (I^{B}/I^{B+1})$ for all $n\ge B$.

Cited by in corpus (3)

• Equality of ordinary and symbolic powers of Stanley-Reisner ideals
• Associated primes of powers of edge ideals and ear decompositions of graphs
• Associated primes of monomial ideals and odd holes in graphs