Title: Idempotents and Landweber exactness in brave new algebra Author: J.P. May Classification: 55N20, 55N91, 55P43 Address: Dept. Math., University of Chicago, Chicago, IL 60637, USA. E-mail: may@math.uchicago.edu We explain how idempotents in homotopy groups give rise to splittings of homotopy categories of modules over commutative $S$-algebras, and we observe that there are naturally occurring equivariant examples involving idempotents in Burnside rings. We then give a version of the Landweber exact functor theorem that applies to $MU$-modules. {Appeared in Homology, homotopy, and applications 3(2001), 355--359}