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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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2020 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2020
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/188572 |
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| Zitieren: | Endomorphisms of Clifford semigroups with injective structure homomorphisms / S. Worawiset, J. Koppitz // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 290–304. — Бібліогр.: 11 назв. — англ. |
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Worawiset, S. Koppitz, J. 2023-03-06T15:01:39Z 2023-03-06T15:01:39Z 2020 Endomorphisms of Clifford semigroups with injective structure homomorphisms / S. Worawiset, J. Koppitz // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 290–304. — Бібліогр.: 11 назв. — англ. 1726-3255 DOI:10.12958/adm1543 2010 MSC: 20M10, 20M15 https://nasplib.isofts.kiev.ua/handle/123456789/188572 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 Gα ∪ Gβ (α > β) with an injective structure homomorphism, where Gα has no proper subgroup, such that the endomorphism monoid is completely regular. In particular, we consider the case that the structure homomorphism is bijective.. Partially supported by the Thai Visiting Scholar 2019, Khon Kaen University, Thailand. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Endomorphisms of Clifford semigroups with injective structure homomorphisms Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Endomorphisms of Clifford semigroups with injective structure homomorphisms |
| spellingShingle |
Endomorphisms of Clifford semigroups with injective structure homomorphisms Worawiset, S. Koppitz, J. |
| title_short |
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_sort |
endomorphisms of clifford semigroups with injective structure homomorphisms |
| author |
Worawiset, S. Koppitz, J. |
| author_facet |
Worawiset, S. Koppitz, J. |
| publishDate |
2020 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| 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 Gα ∪ Gβ (α > β) with an injective structure homomorphism, where Gα has no proper subgroup, such that the endomorphism monoid is completely regular. In particular, we consider the case that the structure homomorphism is bijective..
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| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/188572 |
| citation_txt |
Endomorphisms of Clifford semigroups with injective structure homomorphisms / S. Worawiset, J. Koppitz // Algebra and Discrete Mathematics. — 2020. — Vol. 30, № 2. — С. 290–304. — Бібліогр.: 11 назв. — англ. |
| work_keys_str_mv |
AT worawisets endomorphismsofcliffordsemigroupswithinjectivestructurehomomorphisms AT koppitzj endomorphismsofcliffordsemigroupswithinjectivestructurehomomorphisms |
| first_indexed |
2025-12-07T17:41:29Z |
| last_indexed |
2025-12-07T17:41:29Z |
| _version_ |
1850872210327076864 |