Endomorphisms of Cayley digraphs of rectangular groups

• Published in: Algebra and Discrete Mathematics
• Date: 2018
• Main Authors: Arworn, S., Gyurov, B., Nupo, N., Panma, S.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/188408
• 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.

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...