On n-ary generalization of bihom-Lie algebras and bihom-associative algebras

• The aim of this paper is to introduce n-ary BiHom-algebras, generalizing BiHom-algebras. We introduce an alternative concept of BiHom-Lie algebra called BiHom-Lie-Leibniz algebra and study various type of n-ary BiHom-Lie algebras and BiHom-associative algebras. We show that n-ary BiHom-Lie-Leibniz algebra can be represented by BiHom-Lie-Leibniz algebra through fundamental objects. Moreover, we provide some key constructions and study n-ary BiHom-Lie algebras induced by (n-1)-ary BiHom-Lie algebra.

Ämnesord

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

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

Nyckelord

BiHom-algebra

n-ary BiHom-Lie algebra

n-ary BiHom-Lie-Leibniz algebra

BiHom-associative algebra

Mathematics/Applied Mathematics

matematik/tillämpad matematik

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