Cayley automaton semigroups
Victor Maltcev

TL;DR
This paper characterizes various algebraic properties of Cayley automaton semigroups, such as when they form groups, are trivial, finite, free, or zero semigroups, providing a comprehensive classification.
Contribution
It provides a complete characterization of Cayley automaton semigroups regarding their algebraic structure and special cases.
Findings
Identifies conditions for Cayley automaton semigroups to be groups or trivial
Determines when these semigroups are finite or free
Classifies when they are left or right zero semigroups
Abstract
In this paper we characterize when a Cayley automaton semigroup is a group, is trivial, is finite, is free, is a left zero semigroup, or is a right zero semigroup.
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Taxonomy
Topicssemigroups and automata theory · Advanced Algebra and Logic · Mathematical Dynamics and Fractals
