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Construction and Characterization of n-Ary Hom-Bialgebras and n-Ary Infinitesimal Hom-Bialgebras
Faculty of Sciences Sfax, University of Sfax, BP 1171, Sfax, 3038, Tunisia.
International Chair in Mathematical Physics and Applications, ICMPA-UNESCO Chair, University of Abomey-Calavi, 072 BP 50, Cotonou, Benin.
Faculty of Sciences Gafsa, University of Gafsa, Gafsa, 2112, Tunisia.
Mälardalen University, School of Education, Culture and Communication, Educational Sciences and Mathematics. (MAM)ORCID iD: 0000-0003-4554-6528
2023 (English)In: Non-commutative and Non-associative Algebra and Analysis Structures: SPAS 2019, Västerås, Sweden, September 30 - October 2 / [ed] Sergei Silvestrov, Anatoliy Malyarenko, Springer , 2023, Vol. 426, p. 399-428Conference paper, Published paper (Refereed)
Abstract [en]

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.

Place, publisher, year, edition, pages
Springer , 2023. Vol. 426, p. 399-428
Series
Springer Proceedings in Mathematics and Statistics, ISSN 21941009 ; 426
Keywords [en]
Hom-associative algebras, Infinitesimal Hom-bialgebras, n-ary Hom-bialgebras of associative type, n-ary infinitesimal Hom-bialgebras of associative type
National Category
Algebra and Logic
Research subject
Mathematics/Applied Mathematics
Identifiers
URN: urn:nbn:se:mdh:diva-64611DOI: 10.1007/978-3-031-32009-5_16Scopus ID: 2-s2.0-85174450339ISBN: 9783031320088 (print)OAI: oai:DiVA.org:mdh-64611DiVA, id: diva2:1807619
Conference
International Conference on Stochastic Processes and Algebraic Structures—From Theory Towards Applications, SPAS 2019, Västerås, Sweden, 30 September - 2 October 2019
Available from: 2023-10-27 Created: 2023-10-27 Last updated: 2023-12-27Bibliographically approved

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