Endomorphisms of Cayley digraphs of rectangular groups

• Date: 2019
• Main Authors: Arworn, Srichan, Gyurov, Boyko, Nupo, Nuttawoot, Panma, Sayan
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2019
• Subjects: Cayley digraphs; rectangular groups; endomorphisms; 05C20; 05C25; 20K30; 20M99
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/388
• Journal Title: Algebra and Discrete Mathematics

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 \((x,y) \in E(\mathrm{Cay}(S,A))\)...