93 citations · 199 across the 22 of their papers we have counts for
23 papers
The stable module category of a general ring
Daniel Bravo, James Gillespie, Mark Hovey
For any ring R we construct two triangulated categories, each admitting a functor from R-modules that sends projective and injective modules to 0. When R is a quasi-Frobenius or Go…
Smith ideals of structured ring spectra
Mark Hovey
Pursuing ideas of Jeff Smith, we develop a homotopy theory of ideals of monoids in a symmetric monoidal model category. This includes Smith ideals of structured ring spectra and of…
An alternative approach to equivariant stable homotopy theory
Mark Hovey, David White
Building on the work of Martin Stolz, we develop the basics of equivariant stable homotopy theory starting from the simple idea that a G- spectrum should just be a spectrum with an…
Homological dimensions of ring spectra
Mark Hovey, Keir Lockridge
We define homological dimensions for S-algebras, the generalized rings that arise in algebraic topology. We compute the homological dimensions of a number of examples, and establis…
The Eilenberg-Watts theorem in homotopical algebra
Mark Hovey
The object of this paper is to prove that the standard categories in which homotopy theory is done, such as topological spaces, simplicial sets, chain complexes of abelian groups,…
Additive closed symmetric monoidal structures on R-modules
Mark Hovey
In this paper, we classify additive closed symmetric monoidal structures on the category of left R-modules by using Watts' theorem. An additive closed symmetric monoidal structure…