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math.AC2023

Depth and regularity of tableau ideals

Do Trong Hoang, Thanh Vu

We compute the depth and regularity of ideals associated with arbitrary fillings of positive integers to a Young diagram, called the tableau ideals.

math.AC2023

Asymptotic regularity of invariant chains of edge ideals

Do Trong Hoang, Hop D. Nguyen, Quang Hoa Tran

We study chains of nonzero edge ideals that are invariant under the action of the monoid of increasing functions on the positive integers. We prove that the sequence…