A note on explicit homological invariants of graded double Ore extensions
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arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910098992922624 |
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| author | Rubiano, Andrés |
| author_facet | Rubiano, Andrés |
| contents | We compute explicit homological invariants of a trimmed graded double Ore extension of the quantum plane. For a pilot family of type (14641), we determine the minimal graded free resolution and graded Betti numbers of the trivial right module and also compute linear resolutions for two natural cyclic right modules. This provides a concrete link between the PBW structure of the algebra and the homological behavior of its natural quotients. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_02456 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A note on explicit homological invariants of graded double Ore extensions Rubiano, Andrés Rings and Algebras Quantum Algebra 16S36, 16E05, 16E65, 16S38 We compute explicit homological invariants of a trimmed graded double Ore extension of the quantum plane. For a pilot family of type (14641), we determine the minimal graded free resolution and graded Betti numbers of the trivial right module and also compute linear resolutions for two natural cyclic right modules. This provides a concrete link between the PBW structure of the algebra and the homological behavior of its natural quotients. |
| title | A note on explicit homological invariants of graded double Ore extensions |
| topic | Rings and Algebras Quantum Algebra 16S36, 16E05, 16E65, 16S38 |
| url | https://arxiv.org/abs/2604.02456 |