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math.AC2023
Flat covers and injective hulls of persistence modules
Eero Hyry, Ville Puuska
Motivated by recent progress in topological data analysis, we establish a Matlis duality between injective hulls and flat covers of persistence modules. This extends to a duality b…
math.AC2022
Duality between injective envelopes and flat covers
Ville Puuska
We establish a duality between injective envelopes and flat covers over a commutative Noetherian ring. One case of this duality states that a morphism is an injective envelope, if…