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math.AC2024
On the copersistence property and nearly copersistence property of monomial ideals
Mehrdad Nasernejad, Jonathan Toledo
In this paper we investigate the monomial ideals which satisfy the copersistence property or nearly copersistence property.
math.AC2024
On the strong persistence property and normally torsion-freeness of square-free monomial ideals
Alain Bretto, Mehrdad Nasernejad, Jonathan Toledo
In this paper, we first show that any square-free monomial ideal in has the strong persistence property. Next we will provide a criterion for a minimal…
math.AC2024
Normally torsion-freeness and normality criteria for monomial ideals
M. Nasernejad, V. Crispin Quinonez, J. Toledo
In this paper, we focus on the associated primes of powers of monomial ideals and asymptotic behavior properties such as normally torsion-freeness, normality, the strong persistenc…