Stabilization of associated prime ideals of monomial ideals -- Bounding the copersistence index

Clemens Heuberger, Jutta Rath, Roswitha Rissner

The sequence $(\mathrm{Ass}(R/I^n){)}_{n\in \mathbb{N}}$ of associated primes of powers of a monomial ideal $I$ in a polynomial ring $R$ eventually stabilizes by a known result…