Compatible Structures of Generalized Alexander Quandles: Distributivity and Medial Identities

Standard

Compatible Structures of Generalized Alexander Quandles: Distributivity and Medial Identities. / Borodin, A. N.; Neshchadim, M. V.; Simonov, A. A.

в: Siberian Mathematical Journal, Том 66, № 4, 23.07.2025, стр. 903-913.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

BibTeX

@article{3b2ab72b89174982af608fe61d7c012e,

title = "Compatible Structures of Generalized Alexander Quandles: Distributivity and Medial Identities",

abstract = "We study the following question: under what conditions does a group admit two generalized Alexander quandle structures that are compatible with each other via the identity of right distributivity or the generalized medial identity?",

keywords = "512.548+515.162.8, automorphism, compatible identities, generalized Alexander quandle, generalized medial identity, group, quandle, right distributivity",

author = "Borodin, {A. N.} and Neshchadim, {M. V.} and Simonov, {A. A.}",

note = "Neshchadim 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). Borodin, A. N. Compatible Structures of Generalized Alexander Quandles: Distributivity and Medial Identities / A. N. Borodin, M. V. Neshchadim, A. A. Simonov // Siberian Mathematical Journal. – 2025. – Vol. 66, No. 4. – P. 903-913. – DOI 10.1134/S0037446625040032.",

year = "2025",

month = jul,

day = "23",

doi = "10.1134/S0037446625040032",

language = "English",

volume = "66",

pages = "903--913",

journal = "Siberian Mathematical Journal",

issn = "0037-4466",

publisher = "Pleiades Publishing",

number = "4",

}

RIS

TY - JOUR

T1 - Compatible Structures of Generalized Alexander Quandles: Distributivity and Medial Identities

AU - Borodin, A. N.

AU - Neshchadim, M. V.

AU - Simonov, A. A.

N1 - Neshchadim 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). Borodin, A. N. Compatible Structures of Generalized Alexander Quandles: Distributivity and Medial Identities / A. N. Borodin, M. V. Neshchadim, A. A. Simonov // Siberian Mathematical Journal. – 2025. – Vol. 66, No. 4. – P. 903-913. – DOI 10.1134/S0037446625040032.

PY - 2025/7/23

Y1 - 2025/7/23

N2 - We study the following question: under what conditions does a group admit two generalized Alexander quandle structures that are compatible with each other via the identity of right distributivity or the generalized medial identity?

AB - We study the following question: under what conditions does a group admit two generalized Alexander quandle structures that are compatible with each other via the identity of right distributivity or the generalized medial identity?

KW - 512.548+515.162.8

KW - automorphism

KW - compatible identities

KW - generalized Alexander quandle

KW - generalized medial identity

KW - group

KW - quandle

KW - right distributivity

UR - https://www.mendeley.com/catalogue/3ba16783-d613-3773-a413-b8044d56037d/

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=105011289867&origin=inward

UR - https://www.elibrary.ru/item.asp?id=82650974

U2 - 10.1134/S0037446625040032

DO - 10.1134/S0037446625040032

M3 - Article

VL - 66

SP - 903

EP - 913

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 4

ER -

ID: 68585513