On a category of chains of modules whose endomorphism rings have at most $2n$ maximal ideals
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915246251180032 |
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| author | Campanini, Federico |
| author_facet | Campanini, Federico |
| contents | We describe the endomorphism rings in an additive category whose objects are right $R$-modules $M$ with a fixed chain of submodules $0=M^{(0)}\leq M^{(1)}\leq M^{(2)} \leq \dots \leq M^{(n)}=M$ and the behaviour of these objects as far as their direct sums are concerned. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_12155 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On a category of chains of modules whose endomorphism rings have at most $2n$ maximal ideals Campanini, Federico Rings and Algebras We describe the endomorphism rings in an additive category whose objects are right $R$-modules $M$ with a fixed chain of submodules $0=M^{(0)}\leq M^{(1)}\leq M^{(2)} \leq \dots \leq M^{(n)}=M$ and the behaviour of these objects as far as their direct sums are concerned. |
| title | On a category of chains of modules whose endomorphism rings have at most $2n$ maximal ideals |
| topic | Rings and Algebras |
| url | https://arxiv.org/abs/2504.12155 |