Endomorphisms of Clifford semigroups with injective structure homomorphisms
In the present paper, we study semigroups of endomorphisms on Clifford semigroups with injective structure homomorphisms, where the semilattice has a least element. We describe such Clifford semigroups having a regular endomorphism monoid. If the endomorphism monoid on the Clifford semigroup is comp...
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| Дата: | 2021 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Lugansk National Taras Shevchenko University
2021
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| Теми: | |
| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1543 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543029923414016 |
|---|---|
| author | Worawiset, S. Koppitz, J. |
| author_facet | Worawiset, S. Koppitz, J. |
| author_sort | Worawiset, S. |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2021-01-29T09:38:49Z |
| description | In the present paper, we study semigroups of endomorphisms on Clifford semigroups with injective structure homomorphisms, where the semilattice has a least element. We describe such Clifford semigroups having a regular endomorphism monoid. If the endomorphism monoid on the Clifford semigroup is completely regular then the corresponding semilattice has at most two elements. We characterize all Clifford semigroups \(G_{\alpha}\cup G_{\beta}\) (\(\alpha >\beta \)) with an injective structure homomorphism, where \(G_{\alpha}\) has no proper subgroup, such that the endomorphism monoid is completely regular. In particular, we consider the case that the structure homomorphism is bijective. |
| first_indexed | 2025-12-02T15:38:59Z |
| format | Article |
| id | admjournalluguniveduua-article-1543 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2025-12-02T15:38:59Z |
| publishDate | 2021 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-15432021-01-29T09:38:49Z Endomorphisms of Clifford semigroups with injective structure homomorphisms Worawiset, S. Koppitz, J. Clifford semigroups, endomorphism monoid, regular 20M10, 20M15 In the present paper, we study semigroups of endomorphisms on Clifford semigroups with injective structure homomorphisms, where the semilattice has a least element. We describe such Clifford semigroups having a regular endomorphism monoid. If the endomorphism monoid on the Clifford semigroup is completely regular then the corresponding semilattice has at most two elements. We characterize all Clifford semigroups \(G_{\alpha}\cup G_{\beta}\) (\(\alpha >\beta \)) with an injective structure homomorphism, where \(G_{\alpha}\) has no proper subgroup, such that the endomorphism monoid is completely regular. In particular, we consider the case that the structure homomorphism is bijective. Lugansk National Taras Shevchenko University 2021-01-29 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1543 10.12958/adm1543 Algebra and Discrete Mathematics; Vol 30, No 2 (2020) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1543/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1543/665 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/1543/793 Copyright (c) 2021 Algebra and Discrete Mathematics |
| spellingShingle | Clifford semigroups endomorphism monoid regular 20M10 20M15 Worawiset, S. Koppitz, J. Endomorphisms of Clifford semigroups with injective structure homomorphisms |
| title | Endomorphisms of Clifford semigroups with injective structure homomorphisms |
| title_full | Endomorphisms of Clifford semigroups with injective structure homomorphisms |
| title_fullStr | Endomorphisms of Clifford semigroups with injective structure homomorphisms |
| title_full_unstemmed | Endomorphisms of Clifford semigroups with injective structure homomorphisms |
| title_short | Endomorphisms of Clifford semigroups with injective structure homomorphisms |
| title_sort | endomorphisms of clifford semigroups with injective structure homomorphisms |
| topic | Clifford semigroups endomorphism monoid regular 20M10 20M15 |
| topic_facet | Clifford semigroups endomorphism monoid regular 20M10 20M15 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/1543 |
| work_keys_str_mv | AT worawisets endomorphismsofcliffordsemigroupswithinjectivestructurehomomorphisms AT koppitzj endomorphismsofcliffordsemigroupswithinjectivestructurehomomorphisms |