Automorphisms of the endomorphism semigroup of a free monoid or a free semigroup

G. Mashevitzky, Boris M. Schein

Research output: Contribution to journalArticlepeer-review

31 Scopus citations

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.

Original languageEnglish
Pages (from-to)1655-1660
Number of pages6
JournalProceedings of the American Mathematical Society
Volume131
Issue number6
DOIs
StatePublished - 1 Jan 2003

Keywords

  • Automorphism
  • Endomorphism
  • Free monoid
  • Free semigroup

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics

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