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Hom-alternative modules and Hom–Poisson comodules

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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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Acknowledgements

The second author is supported by the nlaga project and this work was done during his visit at IMSP (Port-Novo, Benin) funded by the Deutscher Akademischer Austausch Dienst (DAAD). To both institutions he expresses his gratitude and thanks.

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Authors and Affiliations

  1. Département de Mathématiques, Université de N’Zérékoré, BP: 50, N’Zérékoré, Guinea

    Ibrahima Bakayoko

  2. Département de Mathématiques et Informatique, Université Cheikh Anta Diop de Dakar, Dakar, Senegal

    Bakary Manga

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  1. Ibrahima Bakayoko
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  2. Bakary Manga
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Correspondence to Bakary Manga.

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Bakayoko, I., Manga, B. Hom-alternative modules and Hom–Poisson comodules. Afr. Mat. 28, 1297–1311 (2017). https://doi.org/10.1007/s13370-017-0516-6

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