2016
DOI: 10.1007/s40840-016-0352-0
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A Non-abelian Tensor Product of Hom–Lie Algebras

Abstract: Non-abelian tensor product of Hom-Lie algebras is constructed and studied. This tensor product is used to describe universal (α)-central extensions of Hom-Lie algebras and to establish a relation between cyclic and Milnor cyclic homologies of Hom-associative algebras satisfying certain additional condition.

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Cited by 15 publications
(28 citation statements)
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“…In this paper we continue investigation done in [2] and obtain further properties of the non-abelian tensor product of Hom-Lie algebras. In particular, the paper is organized as follows.…”
Section: Introductionmentioning
confidence: 91%
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“…In this paper we continue investigation done in [2] and obtain further properties of the non-abelian tensor product of Hom-Lie algebras. In particular, the paper is organized as follows.…”
Section: Introductionmentioning
confidence: 91%
“…Another broad class of Hom-Lie algebras with the same property, are Hom-Lie algebras satisfying the so-called α-identity condition given in [2], that is, Hom-Lie algebra (Q, α Q ) such that [Q, Im(α Q − id Q )] = 0, which is equivalent to the condition [x, y] = [α Q (x), y], for all x, y ∈ Q. Examples of this kind of Hom-Lie algebras can be found in [2].…”
Section: Remark 33mentioning
confidence: 99%
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