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math.RA2008★ 3 cited
Cartan Subalgebras of Leibniz -Algebras
S. Albeverio, Sh. A. Ayupov, B. A. Omirov +1
The present paper is devoted to the investigation of properties of Cartan subalgebras and regular elements in Leibniz -algebras. The relationship between Cartan subalgebras and…
math.RA2007★ 4 cited
n-Dimensional filiform Leibniz algebras of length (n-1) and their derivations
S. Albeverio, Sh. A. Ayupov, B. A. Omirov +1
In this work -dimensional filiform Leibniz algebras admitting a gradation of length are classified. Derivations of such algebras are also described.