Filtern
Volltext vorhanden
- nein (1)
Erscheinungsjahr
- 2019 (1) (entfernen)
Dokumenttyp
Sprache
- Englisch (1)
Gehört zur Bibliographie
- ja (1)
Schlagworte
- Fence (1)
- Idempotents (1)
- Order-preserving (1)
- Rank of semigroup (1)
- Transformation semigroups (1)
- Zig-zag order (1)
Institut
A zig-zag (or fence) order is a special partial order on a (finite) set. In this paper, we consider the semigroup TFn of all order-preserving transformations on an n-element zig-zag-ordered set. We determine the rank of TFn and provide a minimal generating set for TFn. Moreover, a formula for the number of idempotents in TFn is given.