TY - JOUR

T1 - Constructions of Quandles over Groups and Rings

AU - Simonov, A. A.

AU - Neshchadim, M. V.

AU - Borodin, A. N.

N1 - The work was supported by the Fundamental Research Program of the Siberian Branch of the Russian Academy of Sciences (no. I.1.5, Project FWNF–2022-0009).

PY - 2024/5

Y1 - 2024/5

N2 - We present the following constructions: extension of a trivial quandleby a group with a nontrivial abelian subgroup,a quandle over a noncommutative groupby an arbitrary antiautomorphism,a quandle presenting from a generalized Alexander quandlewith the replacement of the automorphism by a central antiautomorphism, anda quandle over an -dimensional moduledepending on parameters with in a commutative unital ring.

AB - We present the following constructions: extension of a trivial quandleby a group with a nontrivial abelian subgroup,a quandle over a noncommutative groupby an arbitrary antiautomorphism,a quandle presenting from a generalized Alexander quandlewith the replacement of the automorphism by a central antiautomorphism, anda quandle over an -dimensional moduledepending on parameters with in a commutative unital ring.

KW - 512.548:515.162.8

KW - Alexander quandle

KW - Hosszu quandle

KW - antiautomorphism

KW - automorphism

KW - distributive

KW - generalized Alexander quandle

KW - group

KW - module

KW - quandle

KW - ring

KW - self-distributivity

KW - trivial quandle

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85195106417&origin=inward&txGid=872ad2e3efb333afe7bb73e3181ef304

UR - https://www.mendeley.com/catalogue/ce5aa9a1-e591-3685-97a0-c88fb0c7e1bd/

U2 - 10.1134/S003744662403011X

DO - 10.1134/S003744662403011X

M3 - Article

VL - 65

SP - 627

EP - 638

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 3

ER -