4.3 Article

Solvable extensions of the naturally graded quasi-filiform Leibniz algebra of second type L2

Journal

COMMUNICATIONS IN ALGEBRA
Volume 46, Issue 11, Pages 5006-5031

Publisher

TAYLOR & FRANCIS INC
DOI: 10.1080/00927872.2018.1459653

Keywords

Derivation; Leibniz algebra; nil-independence; nilpotency; nilradical; solvability

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For a sequence of the naturally graded quasi-filiform Leibniz algebra of second type L-2 introduced by Camacho, Gomez, Gonzalez and Omirov, all possible right and left solvable indecomposable extensions over the field are constructed so that the algebra serves as the nilradical of the corresponding solvable Leibniz algebras we find in the paper.

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