J. Korean Math. Soc. 2022; 59(1): 1-12
Online first article January 1, 2022 Printed January 1, 2022
Copyright © The Korean Mathematical Society.
Dezful Branch, Islamic Azad University
We introduce the notion of a minimal synchronizing word; that is a synchronizing word whose proper subwords are not synchronized. This has been used to give a new shorter proof for a theorem in . Also, the common synchronized components of a subshift and its derived set have been characterized.
Keywords: Minimal synchronizing, synchronized component, synchronized entropy
MSC numbers: 37B10, 54H20, 37B40
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