Central extensions of 3-dimensional Zinbiel algebras
We describe all central extensions of all 3-dimensional nontrivial complex Zinbiel algebras. As a corollary, we have a full classification of 4-dimensional nontrivial complex Zinbiel algebras and a full classification of 5-dimensional nontrivial complex Zinbiel algebras with 2-dimensional annihilato...
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| Veröffentlicht in: | Ricerche di matematica 2023-11, Vol.72 (2), p.921-947 |
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| container_title | Ricerche di matematica |
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| creator | Kaygorodov, Ivan Alvarez, María Alejandra Mello, Thiago Castilho de |
| description | We describe all central extensions of all 3-dimensional nontrivial complex Zinbiel algebras. As a corollary, we have a full classification of 4-dimensional nontrivial complex Zinbiel algebras and a full classification of 5-dimensional nontrivial complex Zinbiel algebras with 2-dimensional annihilator, which gives the principal step in the algebraic classification of 5-dimensional Zinbiel algebras. |
| doi_str_mv | 10.1007/s11587-021-00604-1 |
| format | Article |
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| subjects | Algebra Analysis Classification Geometry Mathematics Mathematics and Statistics Numerical Analysis Probability Theory and Stochastic Processes |
| title | Central extensions of 3-dimensional Zinbiel algebras |
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