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arXiv · 2404.16711

On Matlis reflexive modules

Henning Krause
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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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Henning Krause. 2024-04-25. On Matlis reflexive modules. https://doi.org/10.2140/pjm.2025.337.257

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