On Matlis reflexive modules
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866916775856177152 |
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| author | Krause, Henning |
| author_facet | Krause, Henning |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_16711 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Matlis reflexive modules Krause, Henning Commutative Algebra Representation Theory 13C60 (primary), 13E05, 16D70 (secondary) 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. |
| title | On Matlis reflexive modules |
| topic | Commutative Algebra Representation Theory 13C60 (primary), 13E05, 16D70 (secondary) |
| url | https://arxiv.org/abs/2404.16711 |