Verbal quandles with one parameter

IF 0.6 4区数学 Q3 MATHEMATICS Topology and its Applications Pub Date : 2025-01-07 DOI:10.1016/j.topol.2025.109203

Elizaveta Markhinina , Timur Nasybullov

引用次数: 0

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 \in G

the algebraic system

(G, ⁎_{W, c})

with the binary operation

⁎_{W, c}

given by

a ⁎_{W, c} b = W (a, b, c)

for

a, b \in G

is a quandle. Such quandles are called verbal quandles with one parameter.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

求助全文

约1分钟内获得全文去求助

来源期刊

Topology and its Applications 数学-数学

CiteScore

1.20

自引率

33.30%

发文量

251

审稿时长

6 months

期刊介绍： Topology and its Applications is primarily concerned with publishing original research papers of moderate length. However, a limited number of carefully selected survey or expository papers are also included. The mathematical focus of the journal is that suggested by the title: Research in Topology. It is felt that it is inadvisable to attempt a definitive description of topology as understood for this journal. Certainly the subject includes the algebraic, general, geometric, and set-theoretic facets of topology as well as areas of interactions between topology and other mathematical disciplines, e.g. topological algebra, topological dynamics, functional analysis, category theory. Since the roles of various aspects of topology continue to change, the non-specific delineation of topics serves to reflect the current state of research in topology. At regular intervals, the journal publishes a section entitled Open Problems in Topology, edited by J. van Mill and G.M. Reed. This is a status report on the 1100 problems listed in the book of the same name published by North-Holland in 1990, edited by van Mill and Reed.

期刊最新文献

On the classifying maps of principal PUn-bundles Symmetric monoidal categories of conveniently-constructible Banach bundles On sequential versions of distributional topological complexity The separating disk complex for a handlebody Editorial Board