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arXiv · 2312.12007

n-valued quandles and associated bialgebras

Valeriy G. Bardakov·Tatyana A. Kozlovskaya·Dmitry V. Talalaev
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Abstract

The principal aim of this article is to introduce and study n-valued quandles and n-corack bialgebras. We elaborate the basic methods of this theory, reproduce the coset construction known in the theory of n-valued groups. We also consider a construction of n-valued quandles using n-multi-quandles. In contrast to the case of n-valued groups this construction turns out to be quite rich in algebraic and topological applications. An important part of the work is the study of the properties of n-corack bialgebras those role is analogous to the group bialgebra.

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BibTeXRIS

Valeriy G. Bardakov, Tatyana A. Kozlovskaya, Dmitry V. Talalaev. 2023-12-19. n-valued quandles and associated bialgebras. https://arxiv.org/abs/2312.12007

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