Vidinli algebras
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866917234761269248 |
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| author | Elduque, Alberto Rández-Ibáñez, Javier |
| author_facet | Elduque, Alberto Rández-Ibáñez, Javier |
| contents | A new class of nonassociative algebras, Vidinli algebras, is defined based on recent work of Coşkun and Eden. These algebras are conic (or quadratic) algebras with the extra restriction that the commutator of any two elements is a scalar multiple of the unity.
Over fields of characteristic not 2, Vidinli algebras may be considered as generalizations of the Jordan algebras of Clifford type. However, in characteristic 2, the class of Vidinli algebras is much larger and include the unitizations of anticommutative algebras. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_22839 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Vidinli algebras Elduque, Alberto Rández-Ibáñez, Javier Rings and Algebras Primary 17D99, Secondary 17A05, 17A36 A new class of nonassociative algebras, Vidinli algebras, is defined based on recent work of Coşkun and Eden. These algebras are conic (or quadratic) algebras with the extra restriction that the commutator of any two elements is a scalar multiple of the unity. Over fields of characteristic not 2, Vidinli algebras may be considered as generalizations of the Jordan algebras of Clifford type. However, in characteristic 2, the class of Vidinli algebras is much larger and include the unitizations of anticommutative algebras. |
| title | Vidinli algebras |
| topic | Rings and Algebras Primary 17D99, Secondary 17A05, 17A36 |
| url | https://arxiv.org/abs/2601.22839 |