On one class of algebras
In this paper a \(g\)-dimonoid which is isomorphic to the free \(g\)-dimonoid is given and a free \(n\)-nilpotent \(g\)-dimonoid is constructed. We also present the least \(n\)-nilpotent congruence on a free \(g\)-dimonoid and give numerous examples of \(g\)-dimonoids.
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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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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1064 |
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| Назва журналу: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| id |
admjournalluguniveduua-article-1064 |
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admjournalluguniveduua-article-10642018-04-26T02:40:33Z On one class of algebras Zhuchok, Yuliia V. dimonoid, \(g\)-dimonoid, free \(g\)-dimonoid, free \(n\)-nilpotent \(g\)-dimonoid, semigroup, congruence 08B20, 20M10, 20M50, 17A30, 17A32 In this paper a \(g\)-dimonoid which is isomorphic to the free \(g\)-dimonoid is given and a free \(n\)-nilpotent \(g\)-dimonoid is constructed. We also present the least \(n\)-nilpotent congruence on a free \(g\)-dimonoid and give numerous examples of \(g\)-dimonoids. Lugansk National Taras Shevchenko University 2018-04-26 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1064 Algebra and Discrete Mathematics; Vol 18, No 2 (2014) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1064/586 Copyright (c) 2018 Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics |
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|
| datestamp_date |
2018-04-26T02:40:33Z |
| collection |
OJS |
| language |
English |
| topic |
dimonoid \(g\)-dimonoid free \(g\)-dimonoid free \(n\)-nilpotent \(g\)-dimonoid semigroup congruence 08B20 20M10 20M50 17A30 17A32 |
| spellingShingle |
dimonoid \(g\)-dimonoid free \(g\)-dimonoid free \(n\)-nilpotent \(g\)-dimonoid semigroup congruence 08B20 20M10 20M50 17A30 17A32 Zhuchok, Yuliia V. On one class of algebras |
| topic_facet |
dimonoid \(g\)-dimonoid free \(g\)-dimonoid free \(n\)-nilpotent \(g\)-dimonoid semigroup congruence 08B20 20M10 20M50 17A30 17A32 |
| format |
Article |
| author |
Zhuchok, Yuliia V. |
| author_facet |
Zhuchok, Yuliia V. |
| author_sort |
Zhuchok, Yuliia V. |
| title |
On one class of algebras |
| title_short |
On one class of algebras |
| title_full |
On one class of algebras |
| title_fullStr |
On one class of algebras |
| title_full_unstemmed |
On one class of algebras |
| title_sort |
on one class of algebras |
| description |
In this paper a \(g\)-dimonoid which is isomorphic to the free \(g\)-dimonoid is given and a free \(n\)-nilpotent \(g\)-dimonoid is constructed. We also present the least \(n\)-nilpotent congruence on a free \(g\)-dimonoid and give numerous examples of \(g\)-dimonoids. |
| publisher |
Lugansk National Taras Shevchenko University |
| publishDate |
2018 |
| url |
https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1064 |
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AT zhuchokyuliiav ononeclassofalgebras |
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2025-12-02T15:24:46Z |
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2025-12-02T15:24:46Z |
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1850411829230043136 |