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- Title
Multiplication Alteration by Two-Cocycles: The Non-associative Version.
- Authors
Álvarez, J. N. Alonso; Vilaboa, J. M. Fernández; Rodríguez, R. González
- Abstract
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.
- Subjects
MULTIPLICATION; HOPF algebras; QUASIGROUPS; COCYCLES; ASSOCIATIVE rings
- Publication
Bulletin of the Malaysian Mathematical Sciences Society, 2020, Vol 43, Issue 5, p3557
- ISSN
0126-6705
- Publication type
Article
- DOI
10.1007/s40840-019-00885-8