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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| Date: | 2018 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Lugansk National Taras Shevchenko University
2018
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| Subjects: | |
| Online Access: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1064 |
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| Journal Title: | Algebra and Discrete Mathematics |
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Algebra and Discrete Mathematics| _version_ | 1856543284436926464 |
|---|---|
| author | Zhuchok, Yuliia V. |
| author_facet | Zhuchok, Yuliia V. |
| author_sort | Zhuchok, Yuliia V. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2018-04-26T02:40:33Z |
| 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. |
| first_indexed | 2025-12-02T15:24:46Z |
| format | Article |
| id | admjournalluguniveduua-article-1064 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:24:46Z |
| publishDate | 2018 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | 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 |
| 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 |
| title | 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_short | On one class of algebras |
| title_sort | on one class of algebras |
| topic | dimonoid \(g\)-dimonoid free \(g\)-dimonoid free \(n\)-nilpotent \(g\)-dimonoid semigroup congruence 08B20 20M10 20M50 17A30 17A32 |
| topic_facet | dimonoid \(g\)-dimonoid free \(g\)-dimonoid free \(n\)-nilpotent \(g\)-dimonoid semigroup congruence 08B20 20M10 20M50 17A30 17A32 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1064 |
| work_keys_str_mv | AT zhuchokyuliiav ononeclassofalgebras |