Some characterizations of color Hom-Poisson algebras

Attan, Sylvain

doi:10.15672/hjms.2018.640

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Admissible Hom-novikov-poisson Color Homalgebras1

Introduction and First Definitions1

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Cited by 4 publications

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“…In this Section, we recall the main result of Hom-Novikov-Poisson color Hom-algebras in [5] and we introduce their notions of bimodules and matched pairs. Next, we introduce the dfinition of admissible Hom-Novikov-Poisson color Hom-algebras and we give some explicit constructions.…”

Section: Admissible Hom-novikov-poisson Color Homalgebrasmentioning

confidence: 99%

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Admissible Hom-Novikov-Poisson and Hom-Gelfand-Dorfman color Hom-algebras

Laraiedh¹,

Silvestrov²

2022

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The main feature of color Hom-algebras is that the identities defining the structures are twisted by even linear maps. The purpose of this paper is to introduce and give some constructions of admissible Hom-Novikov-Poisson color Hom-algebras and Hom-Gelfand-Dorfman color Hom-algebras. Their bimodules and matched pairs are defined and the relevant properties and theorems are given. Also, the connections between Hom-Novikov-Poisson color Hom-algebras and Hom-Gelfand-Dorfman color Hom-algebras is proved. Furthermore, we show that the class of admissible Hom-Novikov-Poisson color Hom-algebras is closed under tensor product.

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Section: Admissible Hom-novikov-poisson Color Homalgebrasmentioning

confidence: 99%

“…[5]). Let A = (A, •, ⋄, ε) be a Hom-Novikov-Poisson color Hom-algebra and α : A → A be a Hom-Novikov-Poisson color Hom-algebras morphism.…”

mentioning

confidence: 99%

Admissible Hom-Novikov-Poisson and Hom-Gelfand-Dorfman color Hom-algebras

Laraiedh¹,

Silvestrov²

2022

Preprint

View full text Add to dashboard Cite

show abstract

“…In particular, they show that any Hom-pre-Poisson color algebra leads to a Hom-Poisson color algebra. The description of Hom-Poisson color algebras is given in [5] by using only one operation of its two binary operations via the polarisation-depolarisation process.…”

Section: Introduction and First Definitionsmentioning

confidence: 99%