Automorphism groups of linearly ordered structures and endomorphisms of the ordered set $(\mathbb{Q},\le )$ of rational numbers

Jillian D. McPhee, James D. Mitchell, Martyn Quick

We investigate the structure of the monoid of endomorphisms of the ordered set $(\mathbb{Q},\le )$ of rational numbers. We show that for any countable linearly ordered set $\Omega$, t…