Verbal quandles with one parameter Full article
| Journal |
Topology and its Applications
ISSN: 0166-8641 |
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| Output data | Year: 2025, Volume: 362, Article number : 109203, Pages count : 14 DOI: 10.1016/j.topol.2025.109203 | ||||
| Tags | Quandle, Verbal quandle, Group | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Sobolev Institute of Mathematics | FWNF-2022-0005 |
Abstract:
We find all words W(x,y,z) in the free group F(x,y,z), such that for every group Gand element c ∈ G the algebraic system (G,∗W,c) with the binary operation ∗W,c given by a ∗W,c b = W(a,b,c) for a,b ∈ G is a quandle. Such quandles are called verbal quandles with one parameter.
Cite:
Markhinina E.
, Nasybullov T.
Verbal quandles with one parameter
Topology and its Applications. 2025. V.362. 109203 :1-14. DOI: 10.1016/j.topol.2025.109203 WOS Scopus РИНЦ OpenAlex
Verbal quandles with one parameter
Topology and its Applications. 2025. V.362. 109203 :1-14. DOI: 10.1016/j.topol.2025.109203 WOS Scopus РИНЦ OpenAlex
Dates:
| Submitted: | Apr 24, 2023 |
| Accepted: | Jan 1, 2025 |
| Published online: | Jan 7, 2025 |
| Published print: | Mar 1, 2025 |
Identifiers:
| Web of science: | WOS:001408004800001 |
| Scopus: | 2-s2.0-85215430513 |
| Elibrary: | 81573305 |
| OpenAlex: | W4406141853 |
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