Proceedings of the American Mathematical Society

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
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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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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 20M20, 20M05, 08A35

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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ISSN 1088-6826 (e) ISSN 0002-9939 (p)

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