Möbius function for modules and thin representations
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866913610216767488 |
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| author | Krasula, Dominik |
| author_facet | Krasula, Dominik |
| contents | This paper studies the Möbius function and related questions about the finiteness of the poset of submodules of semisimple and general modules. We show how to calculate the Möbius function for semisimple modules based on endomorphism rings of simple submodules. We discuss the Möbius function for representations of bounded path algebras in detail. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_05656 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Möbius function for modules and thin representations Krasula, Dominik Rings and Algebras 16G20, 16D60 This paper studies the Möbius function and related questions about the finiteness of the poset of submodules of semisimple and general modules. We show how to calculate the Möbius function for semisimple modules based on endomorphism rings of simple submodules. We discuss the Möbius function for representations of bounded path algebras in detail. |
| title | Möbius function for modules and thin representations |
| topic | Rings and Algebras 16G20, 16D60 |
| url | https://arxiv.org/abs/2403.05656 |