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Endomorphisms of Cayley digraphs of rectangular groups
Репозиторій DSpace/Manakin
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Endomorphisms of Cayley digraphs of rectangular groups
Інший ID:
2010 MSC: 05C20, 05C25, 20K30, 20M99.
Посилання:
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.
Підтримка:
We would like to thank the referee(s) for comments and suggestions on the manuscript. This research was supported by Chiang Mai University.
Дата:
2018
Переглядів:
196
Завантажень:
84
Анотація:
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.
