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