Endomorphisms of Cayley digraphs of rectangular groups
Let \(\mathrm{Cay}(S,A)\) denote the Cayley digraph of the semigroup \(S\) with respect to the set \(A\), where \(A\) is any subset of \(S\). The function \(f : \mathrm{Cay}(S,A) \to \mathrm{Cay}(S,A)\) is called an endomorphism of \(\mathrm{Cay}(S,A)\) if for each \((x,y) \in E(\mathrm{Cay}(S,A))\)...
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| Дата: | 2019 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | Англійська |
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Lugansk National Taras Shevchenko University
2019
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| Онлайн доступ: | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/388 |
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| Назва журналу: | Algebra and Discrete Mathematics |
Репозитарії
Algebra and Discrete Mathematics| _version_ | 1856543352938299392 |
|---|---|
| author | Arworn, Srichan Gyurov, Boyko Nupo, Nuttawoot Panma, Sayan |
| author_facet | Arworn, Srichan Gyurov, Boyko Nupo, Nuttawoot Panma, Sayan |
| author_sort | Arworn, Srichan |
| baseUrl_str | |
| collection | OJS |
| datestamp_date | 2019-01-24T08:21:31Z |
| description | Let \(\mathrm{Cay}(S,A)\) denote the Cayley digraph of the semigroup \(S\) with respect to the set \(A\), where \(A\) is any subset of \(S\). The function \(f : \mathrm{Cay}(S,A) \to \mathrm{Cay}(S,A)\) is called an endomorphism of \(\mathrm{Cay}(S,A)\) if for each \((x,y) \in E(\mathrm{Cay}(S,A))\) implies \((f(x),f(y)) \in E(\mathrm{Cay}(S,A))\) as well, where \(E(\mathrm{Cay}(S,A))\) is an arc set of \(\mathrm{Cay}(S,A)\). We characterize the endomorphisms of Cayley digraphs of rectangular groups \(G\times L\times R\), where the connection sets are in the form of \(A=K\times P\times T\). |
| first_indexed | 2026-02-08T07:57:54Z |
| format | Article |
| id | admjournalluguniveduua-article-388 |
| institution | Algebra and Discrete Mathematics |
| language | English |
| last_indexed | 2026-02-08T07:57:54Z |
| publishDate | 2019 |
| publisher | Lugansk National Taras Shevchenko University |
| record_format | ojs |
| spelling | admjournalluguniveduua-article-3882019-01-24T08:21:31Z Endomorphisms of Cayley digraphs of rectangular groups Arworn, Srichan Gyurov, Boyko Nupo, Nuttawoot Panma, Sayan Cayley digraphs, rectangular groups, endomorphisms 05C20, 05C25, 20K30, 20M99 Let \(\mathrm{Cay}(S,A)\) denote the Cayley digraph of the semigroup \(S\) with respect to the set \(A\), where \(A\) is any subset of \(S\). The function \(f : \mathrm{Cay}(S,A) \to \mathrm{Cay}(S,A)\) is called an endomorphism of \(\mathrm{Cay}(S,A)\) if for each \((x,y) \in E(\mathrm{Cay}(S,A))\) implies \((f(x),f(y)) \in E(\mathrm{Cay}(S,A))\) as well, where \(E(\mathrm{Cay}(S,A))\) is an arc set of \(\mathrm{Cay}(S,A)\). We characterize the endomorphisms of Cayley digraphs of rectangular groups \(G\times L\times R\), where the connection sets are in the form of \(A=K\times P\times T\). Lugansk National Taras Shevchenko University 2019-01-24 Article Article Peer-reviewed Article application/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/view/388 Algebra and Discrete Mathematics; Vol 26, No 2 (2018) 2415-721X 1726-3255 en https://admjournal.luguniv.edu.ua/index.php/adm/article/view/388/pdf https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/388/159 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/388/160 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/388/161 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/388/162 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/388/477 https://admjournal.luguniv.edu.ua/index.php/adm/article/downloadSuppFile/388/478 Copyright (c) 2019 Algebra and Discrete Mathematics |
| spellingShingle | Cayley digraphs rectangular groups endomorphisms 05C20 05C25 20K30 20M99 Arworn, Srichan Gyurov, Boyko Nupo, Nuttawoot Panma, Sayan Endomorphisms of Cayley digraphs of rectangular groups |
| title | Endomorphisms of Cayley digraphs of rectangular groups |
| title_full | Endomorphisms of Cayley digraphs of rectangular groups |
| title_fullStr | Endomorphisms of Cayley digraphs of rectangular groups |
| title_full_unstemmed | Endomorphisms of Cayley digraphs of rectangular groups |
| title_short | Endomorphisms of Cayley digraphs of rectangular groups |
| title_sort | endomorphisms of cayley digraphs of rectangular groups |
| topic | Cayley digraphs rectangular groups endomorphisms 05C20 05C25 20K30 20M99 |
| topic_facet | Cayley digraphs rectangular groups endomorphisms 05C20 05C25 20K30 20M99 |
| url | https://admjournal.luguniv.edu.ua/index.php/adm/article/view/388 |
| work_keys_str_mv | AT arwornsrichan endomorphismsofcayleydigraphsofrectangulargroups AT gyurovboyko endomorphismsofcayleydigraphsofrectangulargroups AT nuponuttawoot endomorphismsofcayleydigraphsofrectangulargroups AT panmasayan endomorphismsofcayleydigraphsofrectangulargroups |