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Construction and Characterization of n-Ary Hom-Bialgebras and n-Ary Infinitesimal Hom-Bialgebras

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Non-commutative and Non-associative Algebra and Analysis Structures (SPAS 2019)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 426))

Abstract

Constructions of n-ary bialgebras and n-ary infinitesimal bialgebras of associative type and their hom-analogs, generalizing the hom-bialgebras and infinitesimal hom-bialgebras are investigated. Main algebraic characteristics of n-ary totally, n-ary weak totally, n-ary partially and n-ary alternate partially associative algebras and bialgebras, and their hom-counterparts are described. Particular cases of ternary algebras are given as illustration.

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Acknowledgements

Sergei Silvestrov is grateful to the Royal Swedish Academy of Sciences for partial support.

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Authors and Affiliations

  1. Faculty of Sciences Sfax, University of Sfax, BP 1171, 3038, Sfax, Tunisia

    Fattoum Harrathi

  2. Faculty of Sciences Gafsa, University of Gafsa, 2112, Gafsa, Tunisia

    Sami Mabrouk

  3. International Chair in Mathematical Physics and Applications, ICMPA-UNESCO Chair, University of Abomey-Calavi, 072 BP 50, Cotonou, Republic of Benin

    Mahouton Norbert Hounkonnou

  4. Division of Mathematics and Physics, School of Education, Culture and Communication, Mälardalen University, Box 883, 72123, Västerås, Sweden

    Sergei Silvestrov

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  1. Fattoum Harrathi
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  2. Mahouton Norbert Hounkonnou
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  4. Sergei Silvestrov
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Correspondence to Sami Mabrouk .

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Editors and Affiliations

  1. Division of Mathematics and Physics, Mälardalen University, Västerås, Sweden

    Sergei Silvestrov

  2. Division of Mathematics and Physics, Mälardalen University, Västerås, Sweden

    Anatoliy Malyarenko

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Harrathi, F., Hounkonnou, M.N., Mabrouk, S., Silvestrov, S. (2023). Construction and Characterization of n-Ary Hom-Bialgebras and n-Ary Infinitesimal Hom-Bialgebras. In: Silvestrov, S., Malyarenko, A. (eds) Non-commutative and Non-associative Algebra and Analysis Structures. SPAS 2019. Springer Proceedings in Mathematics & Statistics, vol 426. Springer, Cham. https://doi.org/10.1007/978-3-031-32009-5_16

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