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Criteria for solvability and supersolvability in Leibniz algebras

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ABSTRACT Leibniz algebras are certain generalization of Lie algebras. Recently, analyzing the structure of subalgebras, David Towers gave some criteria for the solvability and supersolvability of Lie algebras. In this… Click to show full abstract

ABSTRACT Leibniz algebras are certain generalization of Lie algebras. Recently, analyzing the structure of subalgebras, David Towers gave some criteria for the solvability and supersolvability of Lie algebras. In this paper we define analogues concepts for Leibniz algebras and extend some of these results on solvability and supersolvability to that of Leibniz algebras.

Keywords: supersolvability leibniz; leibniz algebras; criteria solvability; solvability supersolvability

Journal Title: Communications in Algebra
Year Published: 2018

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