On the Bousfield classes of $H_{\infty }$-ring spectra

Abstract

We prove that any K(n)-acyclic, $D_p$-ring spectrum is K(n+1)-acyclic, affirming an old conjecture of Mark Hovey.

Major revision. Slightly strengthened the main theorems, improved exposition, and fixed a significant error. Comments always welcome

Cited by in corpus (3)

• Nilpotence in normed MGL-modules
• Nilpotence in E_n Algebras
• Wilson Spaces, Snaith Constructions, and Elliptic Orientations