Report
n-valued quandles and associated bialgebras
| العنوان: | n-valued quandles and associated bialgebras |
|---|---|
| المؤلفون: | Bardakov, Valeriy G., Kozlovskaya, Tatyana A., Talalaev, Dmitry V. |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Group Theory, Mathematical Physics, Primary 20N20, Secondary Secondary 16S34, 05E30 |
| الوصف: | 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. Comment: 22 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2312.12007 |
| رقم الانضمام: | edsarx.2312.12007 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |