Article
p-Filiform Zinbiel algebras
Author/s | Camacho Santana, Luisa María
Cañete Molero, Elisa María Gómez Vidal, S. Omirov, Bakhrom Abdazovich |
Department | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Publication Date | 2013 |
Deposit Date | 2019-11-14 |
Published in |
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Abstract | The paper deals with the classification of a subclass of finite-dimensional Zinbiel algebras:
the naturally graded p-filiform Zinbiel algebras. A Zinbiel algebra is the dual to Leibniz algebra in
Koszul sense. We prove ... The paper deals with the classification of a subclass of finite-dimensional Zinbiel algebras: the naturally graded p-filiform Zinbiel algebras. A Zinbiel algebra is the dual to Leibniz algebra in Koszul sense. We prove that there exists, up to isomorphism, only one family of naturally graded p-filiform Zinbiel algebras under hypothesis n − p 4. |
Citation | Camacho Santana, L.M., Cañete Molero, E.M., Gómez Vidal, S. y Omirov, B.A. (2013). p-Filiform Zinbiel algebras. Linear Algebra and its Applications, 438 (7), 2958-2972. |
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