Hom-alternative modules and Hom-Poisson comodules

2014/11/28 by Bakayoko, Ibrahima, Manga, Bakary
#16D10 #16S80 #17A30 #17B63 #FOS: Mathematics #Rings and Algebras (math.RA)

paper · doi:10.48550/arxiv.1411.7957

Abstract

In this paper we introduce modules over both left and right Hom-alternative algebras. We give some constructions of left and right Hom-alternative modules and give various properties of both, as well as examples. Then, we prove that morphisms of left alternative algebras extend to morphisms of left Hom-alternative algebras. Next, we introduce comodules over Hom-Poisson coalgebras and show that we may obtain a structure map of a comodule over a Hom-Poisson coalgebra from a given one.

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• Structures and bimodules of simple Hom-alternative algebras
• Bimodules over Hom-Jordan and Hom-alternative algebras
• Comodule Hom-coalgebras
• A structure theorem for quasi-Hopf comodule algebras
• Transposed Hom-Poisson and Hom-pre-Lie Poisson algebras and bialgebras