On solvability and nilpotency for n-hom-Lie algebras and (n+1)-hom-Lie algebras induced by n-hom-Lie algebras

• The purpose of this work is to generalize the concepts of k-solvability and k-nilpotency, initially defined for n-Lie algebras, to n-Hom-Lie algebras and to study their properties. We define k-derived series, k-central descending series and study their properties, we show that k-solvability is a radical property and we apply all of the above to the case of (n+1)-Hom-Lie algebras induced by n-Hom-Lie algebras.

Ämnesord

NATURVETENSKAP  -- Matematik -- Algebra och logik (hsv//swe)

NATURAL SCIENCES  -- Mathematics -- Algebra and Logic (hsv//eng)

Nyckelord

Hom-algebra

n-Hom-Lie algebra

k-Solvable

k-Nilpotent

k-Radical

Mathematics/Applied Mathematics

matematik/tillämpad matematik

Publikations- och innehållstyp

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