Abstract
Given an ordered set P and an antitone map g : P → P, we obtain necessary and sufficient conditions for the existence of an odd positive integer k such that gk is isotone. The results obtained have a natural application to the dual space of an Ockham algebra. In particular, we determine the cardinality of the endomorphism semigroup of a finite subdirectly irreducible Ockham algebra.
| Original language | English |
|---|---|
| Pages (from-to) | 261-270 |
| Number of pages | 10 |
| Journal | Order |
| Volume | 15 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Sept 1998 |
Keywords
- antitone mapping
- endomorphism semigroup
- Ockham algebra