On the endomorphism monoid of a profinite semigroup
Benjamin Steinberg
TL;DR
This paper characterizes when the endomorphism monoid of a profinite semigroup is itself profinite, providing necessary and sufficient conditions, and also discusses similar results for automorphism groups.
Contribution
It establishes precise conditions under which the endomorphism monoid of a profinite semigroup is profinite, extending understanding of automorphism groups in this context.
Findings
Conditions for the endomorphism monoid to be profinite
Results applicable to automorphism groups
Advances the theory of profinite semigroups
Abstract
Necessary and sufficient conditions are given for the endomorphism monoid of a profinite semigroup to be profinite. A similar result is established for the automorphism group.
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