Certain structural properties for Cayley regularity graphs of semigroups and their theoretical applications

An element $ x $ in a semigroup is said to be regular if there exists an element $ y $ in the semigroup such that $ x = xyx $. The element $ y $ is said to be a regular part of $ x $. Define the Cayley regularity graph of a semigroup $ S $ to be a digraph with vertex set $ S $ and arc set containing...

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Bibliographic Details
Main Authors: Nuttawoot Nupo, Sayan Panma
Format: Article
Language:English
Published: AIMS Press 2023-05-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2023830?viewType=HTML