No CrossRef data available.
Endomorphisms of Partially Ordered Sets
Published online by Cambridge University Press: 01 March 1998
It is shown that every partially ordered set with n elements admits an endomorphism with an image of a size at least n1/7 but smaller than n. We also prove that there exists a partially ordered set with n elements such that each of its non-trivial endomorphisms has an image of size O((n log n)1/3).
- Research Article
- 1998 Cambridge University Press