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math.AC2026
Strong persistence index and fluctuations in colon powers of monomial ideals
Mehrdad Nasernejad, Jonathan Toledo
Let be an ideal in a commutative Noetherian ring . We say that a positive integer is the strong persistence index of if is the smallest integer such th…
math.AC2026
Asymptotic Properties of Filtrations of Ideals
Mehrdad Nasernejad, Jonathan Toledo
We introduce a unified framework for studying persistence phenomena in commutative algebra via filtrations of ideals. For a filtration , w…