Filtern
Volltext vorhanden
- nein (1)
Erscheinungsjahr
- 2017 (1)
Dokumenttyp
Sprache
- Englisch (1)
Gehört zur Bibliographie
- ja (1)
Schlagworte
- Infinite chain (1) (entfernen)
Institut
In this note, we consider the semigroup O(X) of all order endomorphisms of an infinite chain X and the subset J of O(X) of all transformations alpha such that vertical bar Im(alpha)vertical bar = vertical bar X vertical bar. For an infinite countable chain X, we give a necessary and sufficient condition on X for O(X) = < J > to hold. We also present a sufficient condition on X for O(X) = < J > to hold, for an arbitrary infinite chain X.