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On Hom-Prealternative Bialgebras

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Abstract

The aim of this paper is to study phase spaces of Hom-alternative algebras. We introduce notions of Hom-prealternative algebra and Hom-prealternative bialgebra. Bimodules and matched pairs of Hom-prealternative algebra are also considered. Furthermore, we show that the notion of phase space of a Hom-alternative algebra is equivalent to the notion of Hom-prealternative bialgebra. The coboundary Hom-prealternative bialgebra and Hom-PA equation are also described.

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Correspondence to Qinxiu Sun.

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Presented by Jon F. Carlson.

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Sun, Q. On Hom-Prealternative Bialgebras. Algebr Represent Theor 19, 657–677 (2016). https://doi.org/10.1007/s10468-016-9594-7

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  • DOI: https://doi.org/10.1007/s10468-016-9594-7

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