Free abelian dimonoids

We construct a free abelian dimonoid and describethe least abelian congruence on a free dimonoid. Also we showthat free abelian dimonoids are determined by their endomorphismsemigroups.

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Bibliographic Details
Date:2016
Main Author: Zhuchok, Yurii
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2016
Subjects:
Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/116
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Journal Title:Algebra and Discrete Mathematics

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Algebra and Discrete Mathematics
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author Zhuchok, Yurii
author_facet Zhuchok, Yurii
author_sort Zhuchok, Yurii
baseUrl_str
collection OJS
datestamp_date 2016-01-12T07:40:37Z
description We construct a free abelian dimonoid and describethe least abelian congruence on a free dimonoid. Also we showthat free abelian dimonoids are determined by their endomorphismsemigroups.
first_indexed 2026-02-08T08:00:02Z
format Article
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institution Algebra and Discrete Mathematics
language English
last_indexed 2026-02-08T08:00:02Z
publishDate 2016
publisher Lugansk National Taras Shevchenko University
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spelling admjournalluguniveduua-article-1162016-01-12T07:40:37Z Free abelian dimonoids Zhuchok, Yurii free abelian dimonoid, abelian dimonoid, congruence, endomorphism semigroup. 08B20, 17A30, 08A30, 08A35. We construct a free abelian dimonoid and describethe least abelian congruence on a free dimonoid. Also we showthat free abelian dimonoids are determined by their endomorphismsemigroups. Lugansk National Taras Shevchenko University 2016-01-12 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/116 Algebra and Discrete Mathematics; Vol 20, No 2 (2015) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/116/pdf_1 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/116/27 Copyright (c) 2016 Algebra and Discrete Mathematics
spellingShingle free abelian dimonoid
abelian dimonoid
congruence
endomorphism semigroup.
08B20
17A30
08A30
08A35.
Zhuchok, Yurii
Free abelian dimonoids
title Free abelian dimonoids
title_full Free abelian dimonoids
title_fullStr Free abelian dimonoids
title_full_unstemmed Free abelian dimonoids
title_short Free abelian dimonoids
title_sort free abelian dimonoids
topic free abelian dimonoid
abelian dimonoid
congruence
endomorphism semigroup.
08B20
17A30
08A30
08A35.
topic_facet free abelian dimonoid
abelian dimonoid
congruence
endomorphism semigroup.
08B20
17A30
08A30
08A35.
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/116
work_keys_str_mv AT zhuchokyurii freeabeliandimonoids