Algebras determined by $τ$-slices
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_ | 1866912710460964864 |
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| author | Gubitosi, Viviana Treffinger, Hipolito |
| author_facet | Gubitosi, Viviana Treffinger, Hipolito |
| contents | In this paper we revisit the notion of strict laura algebras through the lens of $τ$-tilting theory to define the family of algebras determined by $τ$-slices. We show that the representation dimension of every algebra determined by $τ$-slices satisfying mild conditions is at most three. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_11827 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Algebras determined by $τ$-slices Gubitosi, Viviana Treffinger, Hipolito Rings and Algebras Representation Theory In this paper we revisit the notion of strict laura algebras through the lens of $τ$-tilting theory to define the family of algebras determined by $τ$-slices. We show that the representation dimension of every algebra determined by $τ$-slices satisfying mild conditions is at most three. |
| title | Algebras determined by $τ$-slices |
| topic | Rings and Algebras Representation Theory |
| url | https://arxiv.org/abs/2511.11827 |