Generalized derivations of Hom–Poisson color algebras

Khalili, Valiollah

doi:10.1007/s40863-021-00233-4

Cited by 2 publications

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References 19 publications

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“…Their results were generalized by many authors. For example, in the case of color Lie algebras and Hom-Lie color algebras [9,37], Hom-Poisson color algebras [18] Lie triple systems and Hom-Lie triple systems [34,35], color n−ary Ω−algebras and multiplicative n−ary Hom-Ω−algebras [20,8] and many other works. Another generalization of derivations of Lie algebras are Lie triple derivations and generalized Lie triple derivations.…”

Section: Introductionmentioning

confidence: 99%

Double derivations of $n-$Hom-Lie color algebras

Khalili¹

2021

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We study the double derivation algebra D(L) of n−Hom Lie color algebra L and describe the relation between D(L) and the usual derivation Hom-Lie color algebra Der(L). We prove that the inner derivation algebra Inn(L) is an ideal of the double derivation algebra D(L). We also show that if L is a perfect n−Hom Lie color algebra with certain constraints on the base field, then the centralizer of Inn(L) in D(L) is trivial. In addition, we obtain that for every centerless perfect n−Hom Lie color algebra L, the triple derivations of the derivation algebra Der(L) are exactly the derivations of Der(L).

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Section: Introductionmentioning

confidence: 99%

Double derivations of $n-$Hom-Lie color algebras

Khalili¹

2021

Preprint

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On the derivations of BiHom-Poisson superalgebras

Khalili

Asif

2021

Asian-European J. Math.

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In this paper, our objective is to study numerous fundamental properties of the algebra of generalized derivations on a multiplicative BiHom-Poisson superalgebra [Formula: see text]. First, we present a description of some generalized derivations, central derivations, quasiderivations, centroid and quasicentroid of the multiplicative BiHom-Poisson superalgebra [Formula: see text] More specifically, we obtain some important connections and properties of these derivations. We prove that in a larger multiplicative BiHom-Poisson superalgebra, [Formula: see text] can be embedded as a derivations algebra. Finally, we show that when [Formula: see text] is centerless, the derivations of the larger multiplicative BiHom-Poisson superalgebras have direct sum decompositions.

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Generalized derivations of Hom–Poisson color algebras

Cited by 2 publications

References 19 publications

Double derivations of $n-$Hom-Lie color algebras

Double derivations of $n-$Hom-Lie color algebras

On the derivations of BiHom-Poisson superalgebras

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