On Solvability and Nilpotency of Leibniz<i>n</i>-Algebras
J. M. CasasDepartment of Applied Mathematics I , University of Vigo , EUIT. Forestal, SpainEmzar KhmaladzeA. Razmadze Mathematical Institute, Georgian Academy of Sciences , GeorgiaM. LadraDepartment of Algebra , University de Santiago de Compostela , Santiago de Compostela, Spain
2006en
ABI
Аннотация
The concepts of solvable and nilpotent Leibniz n-algebra are introduced, and classical results of solvable and nilpotent Lie algebras theory are extended to Leibniz n-algebras category. A homological criterion similar to Stallings Theorem for Lie algebras is obtained in Leibniz n-algebras category by means of the homology with trivial coefficients of Leibniz n-algebras.
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3 та иқтибос0 та фойдаланилган манба