Standard

Verbal quandles with one parameter. / Markhinina, Elizaveta; Nasybullov, Timur.

In: Topology and its Applications, Vol. 362, 109203, 01.03.2025.

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

Harvard

Markhinina, E & Nasybullov, T 2025, 'Verbal quandles with one parameter', Topology and its Applications, vol. 362, 109203. https://doi.org/10.1016/j.topol.2025.109203

APA

Markhinina, E., & Nasybullov, T. (2025). Verbal quandles with one parameter. Topology and its Applications, 362, [109203]. https://doi.org/10.1016/j.topol.2025.109203

Vancouver

Markhinina E, Nasybullov T. Verbal quandles with one parameter. Topology and its Applications. 2025 Mar 1;362:109203. doi: 10.1016/j.topol.2025.109203

Author

Markhinina, Elizaveta ; Nasybullov, Timur. / Verbal quandles with one parameter. In: Topology and its Applications. 2025 ; Vol. 362.

BibTeX

@article{92742f5cfeb54c82a59692a09a8032a9,
title = "Verbal quandles with one parameter",
abstract = "We find all words W(x,y,z) in the free group F(x,y,z), such that for every group G and element c∈G the algebraic system (G,⁎W,c) with the binary operation ⁎W,c given by a⁎W,cb=W(a,b,c) for a,b∈G is a quandle. Such quandles are called verbal quandles with one parameter.",
keywords = "Group, Quandle, Verbal quandle",
author = "Elizaveta Markhinina and Timur Nasybullov",
year = "2025",
month = mar,
day = "1",
doi = "10.1016/j.topol.2025.109203",
language = "English",
volume = "362",
journal = "Topology and its Applications",
issn = "0166-8641",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Verbal quandles with one parameter

AU - Markhinina, Elizaveta

AU - Nasybullov, Timur

PY - 2025/3/1

Y1 - 2025/3/1

N2 - We find all words W(x,y,z) in the free group F(x,y,z), such that for every group G and element c∈G the algebraic system (G,⁎W,c) with the binary operation ⁎W,c given by a⁎W,cb=W(a,b,c) for a,b∈G is a quandle. Such quandles are called verbal quandles with one parameter.

AB - We find all words W(x,y,z) in the free group F(x,y,z), such that for every group G and element c∈G the algebraic system (G,⁎W,c) with the binary operation ⁎W,c given by a⁎W,cb=W(a,b,c) for a,b∈G is a quandle. Such quandles are called verbal quandles with one parameter.

KW - Group

KW - Quandle

KW - Verbal quandle

UR - https://www.mendeley.com/catalogue/2b82b697-3e30-312d-963b-2871d283894b/

UR - https://www.scopus.com/record/display.uri?eid=2-s2.0-85215430513&origin=inward&txGid=9c33beb79486ac0f5f3ecf44212dee08

U2 - 10.1016/j.topol.2025.109203

DO - 10.1016/j.topol.2025.109203

M3 - Article

VL - 362

JO - Topology and its Applications

JF - Topology and its Applications

SN - 0166-8641

M1 - 109203

ER -

ID: 62970030