Central extensions of 3-dimensional Zinbiel algebras
Kaygorodov I. Alvarez M.A. Mello T.C.
November 2023Springer-Verlag Italia s.r.l.
Ricerche di Matematica
2023#72Issue 2921 - 947 pp.
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.
Central extensions , Classification , Zinbiel algebras
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CMCC, Universidade Federal do ABC, Santo Andre, Brazil
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad de Antofagasta, Antofagasta, Chile
Instituto de Ciência e Tecnologia, Universidade Federal de São Paulo, São José dos Campos, Sao Paulo, Brazil
CMCC
Institute of Mathematics and Mathematical Modeling
Departamento de Matemáticas
Instituto de Ciência e Tecnologia
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