Chromatic homotopy theory is algebraic when p > n2 + n + 1.

We show that if E is a p -local Landweber exact homology theory of height n and p > n 2 + n + 1 , then there exists an equivalence h S p E ≃ h D (E ⁎ E) between homotopy categories of E -local spectra and differential E ⁎ E -comodules, generalizing Bousfield's and Franke's results to heights n > 1. [ABSTRACT FROM AUTHOR]