Constructions of Quandles over Groups, Modules, and Near-Rings Full article
| Journal |
Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
||||||
|---|---|---|---|---|---|---|---|
| Output data | Year: 2026, Volume: 67, Number: 1, Pages: 18-27 Pages count : 10 DOI: 10.1134/s0037446626010039 | ||||||
| Tags | quandle, generalized Alexander quandle, distributivity, group, automorphism, antiautomorphism, module, ring, near-ring | ||||||
| Authors |
|
||||||
| Affiliations |
|
Funding (1)
| 1 | Министерство науки и высшего образования РФ | FWNF-2026-0029 |
Abstract:
Various constructions of generalized Alexander quandles are studied. It is proved that, up to isomorphism, they reduce to two types. Conditions are found under which such quandles are abelian. A construction of an extension of a generalized Alexander quandle to the direct product of two groups is given. Conditions for constructing a quandle over a module and a near-ring are found.
Cite:
Borodin A.N.
, Neshchadim M.V.
, Simonov A.A.
Constructions of Quandles over Groups, Modules, and Near-Rings
Siberian Mathematical Journal. 2026. V.67. N1. P.18-27. DOI: 10.1134/s0037446626010039 WOS Scopus OpenAlex
Constructions of Quandles over Groups, Modules, and Near-Rings
Siberian Mathematical Journal. 2026. V.67. N1. P.18-27. DOI: 10.1134/s0037446626010039 WOS Scopus OpenAlex
Original:
Бородин А.Н.
, Нещадим М.В.
, Симонов А.А.
Конструкции квандлов над группами, модулями и почти–кольцами
Сибирский математический журнал. 2026. Т.67. №1. С.24-35. DOI: 10.33048/smzh.2026.67.103
Конструкции квандлов над группами, модулями и почти–кольцами
Сибирский математический журнал. 2026. Т.67. №1. С.24-35. DOI: 10.33048/smzh.2026.67.103
Dates:
| Submitted: | Jun 27, 2025 |
| Accepted: | Aug 20, 2025 |
| Published online: | Jan 29, 2026 |
Identifiers:
| Web of science: | WOS:001674384100017 |
| Scopus: | 2-s2.0-105028895287 |
| OpenAlex: | W7126039270 |
Citing:
Пока нет цитирований