1. On Matlis reflexive modules
- Author
-
Krause, Henning
- Subjects
Mathematics - Commutative Algebra ,Mathematics - Representation Theory ,13C60 (primary), 13E05, 16D70 (secondary) - 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., Comment: 12 pages. Added further references and a discussion of linearly compact modules
- Published
- 2024