Open AccessAutomorphisms of the endomorphism semigroup of a free monoid or a free semigroup
Author(s) -
G. Mashevitzky,
Boris M. Schein
Publication year - 2003
Publication title -
proceedings of the american mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.968
H-Index - 84
eISSN - 1088-6826
pISSN - 0002-9939
DOI - 10.1090/s0002-9939-03-06923-5
Subject(s) - endomorphism , monoid , automorphism , semigroup , bicyclic semigroup , mathematics , free monoid , pure mathematics , cancellative semigroup , discrete mathematics , algebra over a field
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.