1 citations · 2 across the 6 of their papers we have counts for
6 papers
Some relative stable categories are compactly generated
Matthew Grime, Peter Jorgensen
Let G be a finite group. The stable module category of G has been applied extensively in group representation theory. In particular, it has been used to great effect that it is a t…
Finite dimensional modules and perpendicular subcategories
Matthew Grime
We explain how, under some hypotheses, one can construct a sequence of finite dimensional -modules that lie in certain prescribed additive subcategories, but whose direct limit…
The correct relatively stable category for idempotent modules
Matthew Grime
We answer a question posed by Carlson, Peng, and Wheeler, and demonstrate that in general Rickard modules in relatively stable categories are not idempotent modules even if one loc…
Precovers, localizations and stable homotopy
Matthew Grime
We prove a new localization theorem for stable model categories if the localizing subcategory is generated by a precovering class in the model category. We use this to show how one…
Bousfield localization in quotients of module categories
Matthew Grime
We examine various triangulated quotients of the module category of a finite group. We demonstrate that these are not compactly generated by the simple modules and present a modifi…
Adjoint functors and triangulated categories
Matthew Grime
We give a construction of triangulated categories as quotients of exact categories where the subclass of objects sent to zero is defined by a triple of functors. This includes the…