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 language | English |
|---|---|
| Pages (from-to) | 1655-1660 |
| Number of pages | 6 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 131 |
| Issue number | 6 |
| DOIs | |
| State | Published - 1 Jan 2003 |
Keywords
- Automorphism
- Endomorphism
- Free monoid
- Free semigroup
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics