Multiplication Alteration by Two-Cocycles: The Non-associative Version

Autor:	J. M. Fernández Vilaboa, R. González Rodríguez, J. N. Alonso Álvarez
Rok vydání:	2020
Předmět:	Pure mathematics General Mathematics Mathematics::Rings and Algebras 010102 general mathematics Skew Division (mathematics) Quasitriangular Hopf algebra Hopf algebra 01 natural sciences 010101 applied mathematics Mathematics::K-Theory and Homology Mathematics::Category Theory Mathematics::Quantum Algebra Multiplication 0101 mathematics Associative property Mathematics
Zdroj:	Bulletin of the Malaysian Mathematical Sciences Society. 43:3557-3615
ISSN:	2180-4206 0126-6705
DOI:	10.1007/s40840-019-00885-8
Popis:	In this paper, we introduce the theory of multiplication alteration by two-cocycles for non-associative structures like non-associative bimonoids with left (right) division. Also, we explore the connections between Yetter–Drinfeld modules for Hopf quasigroups, projections of Hopf quasigroups, skew pairings and quasitriangular structures, obtaining the non-associative version of the main results proved by Doi and Takeuchi in the Hopf algebra setting.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::764c888f811b0b8565d95f5ef63fabe7 https://doi.org/10.1007/s40840-019-00885-8 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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