Large Bricks and Join-irreducible torsionfree classes
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909199897722880 |
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| author | Sentieri, Francesco |
| author_facet | Sentieri, Francesco |
| contents | We show that every join-irreducible torsionfree class in the category of finitely generated modules over an artinian ring is cogenerated by a single (not necessarily finitely generated) brick.
This is a partial extension of the characterisation of completely join-irreducible torsionfree classes given by Barnard, Carroll and Zhu. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_05635 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Large Bricks and Join-irreducible torsionfree classes Sentieri, Francesco Representation Theory 16S90 We show that every join-irreducible torsionfree class in the category of finitely generated modules over an artinian ring is cogenerated by a single (not necessarily finitely generated) brick. This is a partial extension of the characterisation of completely join-irreducible torsionfree classes given by Barnard, Carroll and Zhu. |
| title | Large Bricks and Join-irreducible torsionfree classes |
| topic | Representation Theory 16S90 |
| url | https://arxiv.org/abs/2405.05635 |