Constructions of Quandles over Groups and Rings

Constructions of Quandles over Groups and Rings Full article

Journal

Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260

Output data

Year: 2024, Volume: 65, Number: 3, Pages: 627–638 Pages count : 12 DOI: 10.1134/S003744662403011X

Tags

quandle, Hosszu quandle, trivial quandle, Alexander quandle, generalized Alexander quandle, self-distributivity, distributive, group, automorphism, antiautomorphism, module, ring

Authors

Simonov A.A. ¹ , Neshchadim M.V. ² , Borodin A.N. ³

Affiliations

1	Novosibirsk State University, Novosibirsk, Russia
2	Sobolev Institute of Mathematics, Novosibirsk, Russia
3	Gorno-Altaisk State University, Gorno-Altaisk, Russia

Funding (1)

Sobolev Institute of Mathematics

FWNF-2022-0009

We present the following constructions: extension of a trivial quandle by a group with a nontrivial abelian subgroup, a quandle over a noncommutative group by an arbitrary antiautomorphism, a quandle presenting from a generalized Alexander quandle with the replacement of the automorphism by a central antiautomorphism, and a quandle over an n-dimensional module depending on n(n−1)−1 parameters with n ≥ 2 in a commutative unital ring.

Simonov A.A. , Neshchadim M.V. , Borodin A.N.
Constructions of Quandles over Groups and Rings
Siberian Mathematical Journal. 2024. V.65. N3. P.627–638. DOI: 10.1134/S003744662403011X WOS Scopus РИНЦ OpenAlex

Симонов А.А. , Нещадим М.В. , Бородин А.Н.
Конструкции квандлов над группами и кольцами
Сибирский математический журнал. 2024. Т.65. №3. С.577-590. DOI: 10.33048/smzh.2024.65.311 РИНЦ

Submitted:	Jan 15, 2024
Accepted:	Apr 8, 2024
Published print:	May 29, 2024
Published online:	May 29, 2024

Web of science:	WOS:001235366000013
Scopus:	2-s2.0-85195106417
Elibrary:	67311448
OpenAlex:	W4399142478

DB	Citing
OpenAlex	2
Scopus	2
Elibrary	2
Web of science	2