Homological Bounds of Gentle algebras
Fuente:
arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866911125239496704 |
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| author | Liu, Yu-Zhe Ma, Xin Xu, Jiacheng Zhang, Chao |
| author_facet | Liu, Yu-Zhe Ma, Xin Xu, Jiacheng Zhang, Chao |
| contents | This paper studies the homological bounds of gentle algebras, i.e., the upper bounds for the sum of the projective and injective dimensions of indecomposable modules over gentle algebras. We provide conditions under which this sum is strictly less than twice the global dimension, and as an application, we give a characterization of quasi-tilted gentle algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_19763 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Homological Bounds of Gentle algebras Liu, Yu-Zhe Ma, Xin Xu, Jiacheng Zhang, Chao Representation Theory Rings and Algebras 16G10, 16G20, 16E05, 16E10 This paper studies the homological bounds of gentle algebras, i.e., the upper bounds for the sum of the projective and injective dimensions of indecomposable modules over gentle algebras. We provide conditions under which this sum is strictly less than twice the global dimension, and as an application, we give a characterization of quasi-tilted gentle algebras. |
| title | Homological Bounds of Gentle algebras |
| topic | Representation Theory Rings and Algebras 16G10, 16G20, 16E05, 16E10 |
| url | https://arxiv.org/abs/2508.19763 |