Endomorphisms of Cayley digraphs of rectangular groups
Let 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 : Cay(S,A) → Cay(S,A) is called an endomorphism of Cay(S,A) if for each (x, y) ∈ E(Cay(S,A)) implies (f(x), f(y)) ∈ E(Cay(S,A)) as well, where E(Cay(S,A)) is an arc set of...
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| Дата: | 2018 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
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Інститут прикладної математики і механіки НАН України
2018
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188408 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Endomorphisms of Cayley digraphs of rectangular groups / S. Arworn, B. Gyurov, N. Nupo, S. Panma // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 2. — С. 153–169. — Бібліогр.: 18 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1884082023-02-28T01:26:51Z Endomorphisms of Cayley digraphs of rectangular groups Arworn, S. Gyurov, B. Nupo, N. Panma, S. Let 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 : Cay(S,A) → Cay(S,A) is called an endomorphism of Cay(S,A) if for each (x, y) ∈ E(Cay(S,A)) implies (f(x), f(y)) ∈ E(Cay(S,A)) as well, where E(Cay(S,A)) is an arc set of Cay(S,A). We characterize the endomorphisms of Cayley digraphs of rectangular groups G × L × R, where the connection sets are in the form of A = K × P × T. 2018 Article Endomorphisms of Cayley digraphs of rectangular groups / S. Arworn, B. Gyurov, N. Nupo, S. Panma // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 2. — С. 153–169. — Бібліогр.: 18 назв. — англ. 1726-3255 2010 MSC: 05C20, 05C25, 20K30, 20M99. http://dspace.nbuv.gov.ua/handle/123456789/188408 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Let 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 : Cay(S,A) → Cay(S,A) is called an endomorphism of Cay(S,A) if for each (x, y) ∈ E(Cay(S,A)) implies (f(x), f(y)) ∈ E(Cay(S,A)) as well, where E(Cay(S,A)) is an arc set of Cay(S,A). We characterize the endomorphisms of Cayley digraphs of rectangular groups G × L × R, where the connection sets are in the form of A = K × P × T. |
| format |
Article |
| author |
Arworn, S. Gyurov, B. Nupo, N. Panma, S. |
| spellingShingle |
Arworn, S. Gyurov, B. Nupo, N. Panma, S. Endomorphisms of Cayley digraphs of rectangular groups Algebra and Discrete Mathematics |
| author_facet |
Arworn, S. Gyurov, B. Nupo, N. Panma, S. |
| author_sort |
Arworn, S. |
| title |
Endomorphisms of Cayley digraphs of rectangular groups |
| title_short |
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_sort |
endomorphisms of cayley digraphs of rectangular groups |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2018 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188408 |
| citation_txt |
Endomorphisms of Cayley digraphs of rectangular groups / S. Arworn, B. Gyurov, N. Nupo, S. Panma // Algebra and Discrete Mathematics. — 2018. — Vol. 26, № 2. — С. 153–169. — Бібліогр.: 18 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT arworns endomorphismsofcayleydigraphsofrectangulargroups AT gyurovb endomorphismsofcayleydigraphsofrectangulargroups AT nupon endomorphismsofcayleydigraphsofrectangulargroups AT panmas endomorphismsofcayleydigraphsofrectangulargroups |
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2023-10-18T23:08:17Z |
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