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Title: | Endomorphisms of Cayley digraphs of rectangular groups |
Authors: | Arworn, S. Gyurov, B. Nupo, N. Panma, S. |
Keywords: | Cayley digraphs rectangular groups endomorphisms |
Issue Date: | 2018 |
Publisher: | ДЗ "ЛНУ імені Тараса Шевченка" |
Series/Report no.: | математичні науки; |
Abstract: | 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 endo-morphism 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. |
Description: | Arworn S. Endomorphisms of Cayley digraphs of rectangular groups / S.Arworn, B.Gyurov, N.Nupo, S.Panma // Algebra and Discrete Mathematics. - 2018. - Vol. 26. - Number 2. - Рp. 153-169 |
URI: | http://hdl.handle.net/123456789/4550 |
Appears in Collections: | Algebra and Discrete Mathematics. - № 2 (26). - 2018 |
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