On Matlis reflexive modules

Published 25 Apr 2024 in math.AC and math.RT | (2404.16711v3)

Abstract: Matlis duality for modules over commutative rings gives rise to the notion of Matlis reflexivity. It is shown that Matlis reflexive modules form a Krull-Schmidt category. For noetherian rings the absence of infinite direct sums is a characteristic feature of Matlis reflexivity. This leads to a discussion of objects that are extensions of artinian by noetherian objects. Classifications of Matlis reflexive modules are provided for some small examples.

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Authors (1)

Henning Krause

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