Some counterexamples for (strong) persistence property and (nearly) normally torsion-freeness

Abstract

In this article, we present some rare counterexamples, which are related to (strong) persistence property and (nearly) normally torsion-freeness of monomial ideals. They may be useful for researchers in this field to construct the other counterexamples refuting some conjectures.

Keywords

• Associated primes
• Strong persistence property
• Normally torsion-free monomial ideals