Free rectangular dibands and free dimonoids

We construct a free rectangular diband and describe its structure.  We also present the least rectangular diband congruence, the least \((r b, rz)\)-congruence,  the least left zero and right zero congruence,  the least rectangular band congruence and the least left zero congruence on free dimonoids...

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Date:2018
Main Author: Zhuchok, Anatolii V.
Format: Article
Language:English
Published: Lugansk National Taras Shevchenko University 2018
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Online Access:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/669
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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-669
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spelling oai:ojs.admjournal.luguniv.edu.ua:article-6692018-04-04T09:24:09Z Free rectangular dibands and free dimonoids Zhuchok, Anatolii V. rectangular dimonoid, free rectangular dimonoid, free dimonoid, diband of subdimonoids 08B20, 20M10, 20M50, 17A30, 17A32 We construct a free rectangular diband and describe its structure.  We also present the least rectangular diband congruence, the least \((r b, rz)\)-congruence,  the least left zero and right zero congruence,  the least rectangular band congruence and the least left zero congruence on free dimonoids and use them to obtain decompositions of free dimonoids. Lugansk National Taras Shevchenko University 2018-04-04 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/669 Algebra and Discrete Mathematics; Vol 11, No 2 (2011) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/669/203 Copyright (c) 2018 Algebra and Discrete Mathematics
institution Algebra and Discrete Mathematics
baseUrl_str
datestamp_date 2018-04-04T09:24:09Z
collection OJS
language English
topic rectangular dimonoid
free rectangular dimonoid
free dimonoid
diband of subdimonoids
08B20
20M10
20M50
17A30
17A32
spellingShingle rectangular dimonoid
free rectangular dimonoid
free dimonoid
diband of subdimonoids
08B20
20M10
20M50
17A30
17A32
Zhuchok, Anatolii V.
Free rectangular dibands and free dimonoids
topic_facet rectangular dimonoid
free rectangular dimonoid
free dimonoid
diband of subdimonoids
08B20
20M10
20M50
17A30
17A32
format Article
author Zhuchok, Anatolii V.
author_facet Zhuchok, Anatolii V.
author_sort Zhuchok, Anatolii V.
title Free rectangular dibands and free dimonoids
title_short Free rectangular dibands and free dimonoids
title_full Free rectangular dibands and free dimonoids
title_fullStr Free rectangular dibands and free dimonoids
title_full_unstemmed Free rectangular dibands and free dimonoids
title_sort free rectangular dibands and free dimonoids
description We construct a free rectangular diband and describe its structure.  We also present the least rectangular diband congruence, the least \((r b, rz)\)-congruence,  the least left zero and right zero congruence,  the least rectangular band congruence and the least left zero congruence on free dimonoids and use them to obtain decompositions of free dimonoids.
publisher Lugansk National Taras Shevchenko University
publishDate 2018
url https://admjournal.luguniv.edu.ua/index.php/adm/article/view/669
work_keys_str_mv AT zhuchokanatoliiv freerectangulardibandsandfreedimonoids
first_indexed 2025-07-17T10:33:49Z
last_indexed 2025-07-17T10:33:49Z
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