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.
"Idempotents and Landweber exactness in brave new algebra." Homology Homotopy Appl. 3 (2) 355 - 359, 2001.