Refine
Has Fulltext
- no (1)
Year of publication
- 2017 (1) (remove)
Document Type
- Article (1)
Language
- English (1)
Is part of the Bibliography
- yes (1)
Keywords
- generators (1) (remove)
Institute
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.