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Constructions of Quandles over Groups and Rings. / Simonov, A. A.; Neshchadim, M. V.; Borodin, A. N.

In: Siberian Mathematical Journal, Vol. 65, No. 3, 05.2024, p. 627-638.

Research output: Contribution to journal › Article › peer-review

Harvard

Simonov, AA, Neshchadim, MV & Borodin, AN 2024, 'Constructions of Quandles over Groups and Rings', Siberian Mathematical Journal, vol. 65, no. 3, pp. 627-638. https://doi.org/10.1134/S003744662403011X

APA

Simonov, A. A., Neshchadim, M. V., & Borodin, A. N. (2024). Constructions of Quandles over Groups and Rings. Siberian Mathematical Journal, 65(3), 627-638. https://doi.org/10.1134/S003744662403011X

Vancouver

Simonov AA, Neshchadim MV, Borodin AN. Constructions of Quandles over Groups and Rings. Siberian Mathematical Journal. 2024 May;65(3):627-638. doi: 10.1134/S003744662403011X

Author

Simonov, A. A. ; Neshchadim, M. V. ; Borodin, A. N. / Constructions of Quandles over Groups and Rings. In: Siberian Mathematical Journal. 2024 ; Vol. 65, No. 3. pp. 627-638.

BibTeX

@article{58aea96bcea8400186f41cf0e9cfd07f,
title = "Constructions of Quandles over Groups and Rings",
abstract = "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.",
keywords = "512.548:515.162.8, Alexander quandle, Hosszu quandle, antiautomorphism, automorphism, distributive, generalized Alexander quandle, group, module, quandle, ring, self-distributivity, trivial quandle",
author = "Simonov, {A. A.} and Neshchadim, {M. V.} and Borodin, {A. N.}",
note = "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).",
year = "2024",
month = may,
doi = "10.1134/S003744662403011X",
language = "English",
volume = "65",
pages = "627--638",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "3",

}

RIS

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 -

ID: 60512573