Happel's question, Han's conjecture and $τ$-Hochschild (co)homology
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908521356853248 |
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| author | Cibils, Claude Lanzilotta, Marcelo Marcos, Eduardo N. Solotar, Andrea |
| author_facet | Cibils, Claude Lanzilotta, Marcelo Marcos, Eduardo N. Solotar, Andrea |
| contents | We introduce the $τ$-Hochschild (co)homology of a finite dimensional associative algebra $Λ$ by means of the higher Auslander-Reiten translate of O. Iyama. We show that the global dimension of $Λ$, Happel's question and Han's conjecture are related to the $τ$-Hochschild (co)homology. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05135 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Happel's question, Han's conjecture and $τ$-Hochschild (co)homology Cibils, Claude Lanzilotta, Marcelo Marcos, Eduardo N. Solotar, Andrea K-Theory and Homology Rings and Algebras Representation Theory 16E40 (Primary) 16G70, 16D20, 16E30 (Secondary) We introduce the $τ$-Hochschild (co)homology of a finite dimensional associative algebra $Λ$ by means of the higher Auslander-Reiten translate of O. Iyama. We show that the global dimension of $Λ$, Happel's question and Han's conjecture are related to the $τ$-Hochschild (co)homology. |
| title | Happel's question, Han's conjecture and $τ$-Hochschild (co)homology |
| topic | K-Theory and Homology Rings and Algebras Representation Theory 16E40 (Primary) 16G70, 16D20, 16E30 (Secondary) |
| url | https://arxiv.org/abs/2509.05135 |