Artículo
Zinbiel superalgebras
Autor/es | Camacho Santana, Luisa María
Fernández Ouaridi, Amir Kaygorodov, Ivan Navarro Olmo, Rosa María |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) |
Fecha de publicación | 2023 |
Fecha de depósito | 2024-04-03 |
Publicado en |
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Resumen | Throughout the present work, we extend the study of Zinbiel algebras to Zinbiel superalgebras. In particular, we show that all Zinbiel superalgebras over an arbitrary field are nilpotent in the same way as occurs for Zinbiel ... Throughout the present work, we extend the study of Zinbiel algebras to Zinbiel superalgebras. In particular, we show that all Zinbiel superalgebras over an arbitrary field are nilpotent in the same way as occurs for Zinbiel algebras. In addition, and since the most important cases of nilpotent algebras or superalgebras are those with maximal nilpotency index, we study the complex null-filiform Zinbiel superalgebra proving that it is unique up to isomorphism. After that, we characterize the naturally graded filiform ones and obtain low-dimensional classifications. |
Agencias financiadoras | Ministerio de Economía y Competitividad (MINECO). España Ministerio de Ciencia, Innovación y Universidades (MICINN). España Russian Science Foundation |
Identificador del proyecto | PID2020-115155GB-I00
FCT UIDB/MAT/00212/2020 UIDP/MAT/00212/2020 22-71-10001 |
Cita | Camacho Santana, L.M., Fernández Ouaridi, A., Kaygorodov, I. y Navarro Olmo, R.M. (2023). Zinbiel superalgebras. New York Journal of Mathematics, 29, 1341-1362. |
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