Products of quandles Full article
| Journal |
Algebra and Logic
ISSN: 0002-5232 , E-ISSN: 1573-8302 |
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| Output data | Year: 2025, Volume: 63, Number: 2, Pages: 75-97 Pages count : 23 DOI: 10.1007/s10469-025-09773-6 | ||||||
| Tags | rack, quandle, quandle structure, multiplication of quandles | ||||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Tomsk State University | 075-02-2021-1392 |
Abstract:
We generalize the constructions of Q- and G-families of quandles introduced in the paper of A. Ishii et al. in [Ill. J. Math., 57, No. 3, 817-838 (2013)], and establish how they are related to other constructions of quandles. A composition of structures of quandles defined on the same set is specified, and conditions are found under which this composition yields a quandle. It is proved that under such a multiplication we obtain a group that will be Abelian. Also a direct product of quandles is examined.
Cite:
Bardakov V.G.
, Fedoseev D.A.
Products of quandles
Algebra and Logic. 2025. V.63. N2. P.75-97. DOI: 10.1007/s10469-025-09773-6 WOS Scopus РИНЦ OpenAlex
Products of quandles
Algebra and Logic. 2025. V.63. N2. P.75-97. DOI: 10.1007/s10469-025-09773-6 WOS Scopus РИНЦ OpenAlex
Original:
Бардаков В.Г.
, Федосеев Д.А.
Произведения квандлов
Алгебра и логика. 2024. Т.63. №2. С.111—142. DOI: 10.33048/alglog.2024.63.201 РИНЦ
Произведения квандлов
Алгебра и логика. 2024. Т.63. №2. С.111—142. DOI: 10.33048/alglog.2024.63.201 РИНЦ
Dates:
| Submitted: | Feb 11, 2023 |
| Accepted: | Dec 16, 2024 |
| Published print: | Jan 23, 2025 |
| Published online: | Jan 23, 2025 |
Identifiers:
| Web of science: | WOS:001403252900001 |
| Scopus: | 2-s2.0-85217393358 |
| Elibrary: | 81142430 |
| OpenAlex: | W4406760566 |
Citing:
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