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2015 Some Generalized Hom-Algebra Structures
I Bakayoko
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J. Gen. Lie Theory Appl. 9(1): 1-7 (2015). DOI: 10.4172/1736-4337.1000226


In this paper, we introduce generalized left-Hom-symmetric algebras and generalized Hom-dendriform algebras as well as the corresponding modules. We investigate the connection between these categories of generalized Homalgebras and modules. We give various constructions of these generalized Hom-algebra structures from either a given one or an ordinary one. We prove that any generalized Hom-dialgebras give rise to generalized Hom-Leibniz-Poisson algebras and generalized Hom-Poisson dialgebras.


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I Bakayoko. "Some Generalized Hom-Algebra Structures." J. Gen. Lie Theory Appl. 9 (1) 1 - 7, 2015.


Published: 2015
First available in Project Euclid: 30 September 2015

zbMATH: 06499585
MathSciNet: MR3624048
Digital Object Identifier: 10.4172/1736-4337.1000226

Keywords: Generalized Hom-associative , Generalized Homdialgebras , graded modules , Homdendriform , Hom-Leibniz-Poisson algebras , Hom-lie

Rights: Copyright © 2015 Ashdin Publishing (2009-2013) / OMICS International (2014-2016)

Vol.9 • No. 1 • 2015
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