Dickson's theorem for Bol loops

Dickson's theorem for Bol loops

Dickson characterized groups in terms of one-sided invertibility. In this note, we give comparable characterizations for Bol and Moufang loops.

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Bibliographic Details
Date:2018
Main Author: Movsisyan, Yuri
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
Subjects:
left (right) Bol identity
left (right) quasigroup
quasigroup
loop
left (right) Moufang identity
20N05
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/323
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
id oai:ojs.admjournal.luguniv.edu.ua:article-323
record_format ojs
spelling oai:ojs.admjournal.luguniv.edu.ua:article-3232018-04-26T02:43:18Z Dickson's theorem for Bol loops Movsisyan, Yuri left (right) Bol identity, left (right) quasigroup, quasigroup, loop, left (right) Moufang identity 20N05 Dickson characterized groups in terms of one-sided invertibility. In this note, we give comparable characterizations for Bol and Moufang loops. Lugansk National Taras Shevchenko University This research is supported by the State Committee of Science of the Republic of Armenia, grants: 10-3/1-41 and 15T-1A258. 2018-01-24 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/323 Algebra and Discrete Mathematics; Vol 24, No 2 (2017) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/323/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/323/132 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-04-26T02:43:18Z
collection OJS
language English
topic left (right) Bol identity
left (right) quasigroup
quasigroup
loop
left (right) Moufang identity
20N05
spellingShingle left (right) Bol identity
left (right) quasigroup
quasigroup
loop
left (right) Moufang identity
20N05
Movsisyan, Yuri
Dickson's theorem for Bol loops
topic_facet left (right) Bol identity
left (right) quasigroup
quasigroup
loop
left (right) Moufang identity
20N05
format Article
author Movsisyan, Yuri
author_facet Movsisyan, Yuri
author_sort Movsisyan, Yuri
title Dickson's theorem for Bol loops
title_short Dickson's theorem for Bol loops
title_full Dickson's theorem for Bol loops
title_fullStr Dickson's theorem for Bol loops
title_full_unstemmed Dickson's theorem for Bol loops
title_sort dickson's theorem for bol loops
description Dickson characterized groups in terms of one-sided invertibility. In this note, we give comparable characterizations for Bol and Moufang loops.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/323
work_keys_str_mv AT movsisyanyuri dicksonstheoremforbolloops
first_indexed 2025-07-17T10:32:38Z
last_indexed 2025-07-17T10:32:38Z
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