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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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2018 |
| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/188408 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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| _version_ | 1862654034025906176 |
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| author | Arworn, S. Gyurov, B. Nupo, N. Panma, S. |
| author_facet | Arworn, S. Gyurov, B. Nupo, N. Panma, S. |
| 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| 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.
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| first_indexed | 2025-12-01T23:56:35Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-188408 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-01T23:56:35Z |
| publishDate | 2018 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Arworn, S. Gyurov, B. Nupo, N. Panma, S. 2023-02-27T15:48:58Z 2023-02-27T15:48:58Z 2018 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. https://nasplib.isofts.kiev.ua/handle/123456789/188408 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. We would like to thank the referee(s) for comments and suggestions on the manuscript. This research was supported by Chiang Mai University. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Endomorphisms of Cayley digraphs of rectangular groups Article published earlier |
| spellingShingle | Endomorphisms of Cayley digraphs of rectangular groups Arworn, S. Gyurov, B. Nupo, N. Panma, S. |
| 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/188408 |
| work_keys_str_mv | AT arworns endomorphismsofcayleydigraphsofrectangulargroups AT gyurovb endomorphismsofcayleydigraphsofrectangulargroups AT nupon endomorphismsofcayleydigraphsofrectangulargroups AT panmas endomorphismsofcayleydigraphsofrectangulargroups |