9 citations · 13 across the 11 of their papers we have counts for
12 papers · 1 filter
Migration of silting objects via adjoint pairs
Simion Breaz, Andrei Marcuş, George Ciprian Modoi
Consider an adjoint triple of triangle functors between two nice enough triangulated categories. In this paper, we are looking for conditions under which the silting, respectively,…
Brown--Adams representability for triangulated categories with locally coherent cohomology
George Ciprian Modoi
In this paper, we deal with two types of representability. The first is a variant of the Brown representability theorem in the spirit of Rouquier and Neeman. The second is a varian…
Weight structures cogenerated by weak cocompact objects
George Ciprian Modoi
We study t-structures generated by sets of objects which satisfy a condition weaker than the compactness. We also study weight structures cogenerated by sets of objects satisfying…
Reasonable triangulated categories have filtered enhancements
George Ciprian Modoi
We prove that a triangulated category which is the underlying category of a stable derivator has a filtered enhancement, providing an affirmative answer to a conjecture in [3].
Constructing cogenerators in triangulated categories and Brown representability
George Ciprian Modoi
For a triangulated category with products we develop a method for constructing a nice set of cogenerators, allowing us to prove a formal criterion in order to satisfy Brown represe…
The dual of Brown representability for some derived categories
George Ciprian Modoi
Consider a complete abelian category which has an injective cogenerator. If its derived category is left--complete we show that the dual of this derived category satisfies Brown re…