  A monoid $S$ is right coherent if every finitely generated subact of every
finitely presented right $S$-act itself has a finite presentation; it is weakly
right coherent if every finitely generated right ideal of $S$ has a finite
presentation. We show that full and partial transformation monoids, symmetric
inverse monoids and partition monoids over an infinite set are all weakly right
coherent, but that none of them is right coherent. Left coherency and weak left
coherency are defined dually, and the corresponding results hold for these
properties. In order to prove the non-coherency results, we give a presentation
of an inverse semigroup which does not embed into any left or right coherent
monoid.
