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Automorphisms of the endomorphism semigroup of a free monoid or a free semigroup
Author(s):
G.
Mashevitzky;
Boris
M.
Schein
Journal:
Proc. Amer. Math. Soc.
131
(2003),
1655-1660.
MSC (1991):
Primary 20M20, 20M05, 08A35
Posted:
January 15, 2003
MathSciNet review:
1953569
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Abstract:
We determine all isomorphisms between the endomorphism semigroups of free monoids or free semigroups and prove that automorphisms of the endomorphism semigroup of a free monoid or a free semigroup are inner or ``mirror inner". In particular, we answer a question of B. I. Plotkin.
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Additional Information:
G.
Mashevitzky
Affiliation:
Department of Mathematics, Ben Gurion University of the Negev, Beer Sheva, Israel
Email:
gmash@math.bgu.ac.il
Boris
M.
Schein
Affiliation:
Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701
Email:
bschein@uark.edu
DOI:
10.1090/S0002-9939-03-06923-5
PII:
S 0002-9939(03)06923-5
Keywords:
Free semigroup,
free monoid,
endomorphism,
automorphism
Received by editor(s):
December 5, 2001
Posted:
January 15, 2003
Communicated by:
Stephen D. Smith
Copyright of article:
Copyright
2003,
American Mathematical Society
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