Free \(n\)-nilpotent dimonoids
We construct a free \(n\)-nilpotent dimonoid and describe its structure. We also characterize the least \(n\)-nilpotent congruence on a free dimonoid, construct a new class of dimonoids with zero and give examples of nilpotent dimonoids of nilpotency index \(2\).
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| Дата: | 2018 |
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| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2018
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1164 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| id |
oai:ojs.admjournal.luguniv.edu.ua:article-1164 |
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oai:ojs.admjournal.luguniv.edu.ua:article-11642018-05-16T05:04:06Z Free \(n\)-nilpotent dimonoids Zhuchok, Anatolii V. \(n\)-nilpotent dimonoid, free \(n\)-nilpotent dimonoid, \(0\)-diband of subdimonoids, dimonoid, semigroup 08B20, 20M10, 20M50, 17A30, 17A32 We construct a free \(n\)-nilpotent dimonoid and describe its structure. We also characterize the least \(n\)-nilpotent congruence on a free dimonoid, construct a new class of dimonoids with zero and give examples of nilpotent dimonoids of nilpotency index \(2\). Lugansk National Taras Shevchenko University 2018-05-16 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1164 Algebra and Discrete Mathematics; Vol 16, No 2 (2013) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1164/656 Copyright (c) 2018 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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|
| datestamp_date |
2018-05-16T05:04:06Z |
| collection |
OJS |
| language |
English |
| topic |
\(n\)-nilpotent dimonoid free \(n\)-nilpotent dimonoid \(0\)-diband of subdimonoids dimonoid semigroup 08B20 20M10 20M50 17A30 17A32 |
| spellingShingle |
\(n\)-nilpotent dimonoid free \(n\)-nilpotent dimonoid \(0\)-diband of subdimonoids dimonoid semigroup 08B20 20M10 20M50 17A30 17A32 Zhuchok, Anatolii V. Free \(n\)-nilpotent dimonoids |
| topic_facet |
\(n\)-nilpotent dimonoid free \(n\)-nilpotent dimonoid \(0\)-diband of subdimonoids dimonoid semigroup 08B20 20M10 20M50 17A30 17A32 |
| format |
Article |
| author |
Zhuchok, Anatolii V. |
| author_facet |
Zhuchok, Anatolii V. |
| author_sort |
Zhuchok, Anatolii V. |
| title |
Free \(n\)-nilpotent dimonoids |
| title_short |
Free \(n\)-nilpotent dimonoids |
| title_full |
Free \(n\)-nilpotent dimonoids |
| title_fullStr |
Free \(n\)-nilpotent dimonoids |
| title_full_unstemmed |
Free \(n\)-nilpotent dimonoids |
| title_sort |
free \(n\)-nilpotent dimonoids |
| description |
We construct a free \(n\)-nilpotent dimonoid and describe its structure. We also characterize the least \(n\)-nilpotent congruence on a free dimonoid, construct a new class of dimonoids with zero and give examples of nilpotent dimonoids of nilpotency index \(2\). |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1164 |
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AT zhuchokanatoliiv freennilpotentdimonoids |
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2025-07-17T10:29:59Z |
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2025-07-17T10:29:59Z |
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1837889696137478144 |