We develop a theory of cosupport and costratification in tensor triangular geometry. We
study the geometric relationship between support and cosupport, provide a conceptual …

The Hom closed colocalizing subcategories of the stable module category of a finite group
are classified. Along the way, the colocalizing subcategories of the homotopy category of …

In the derived category of a commutative noetherian ring, we explicitly construct a silting
object associated with each sp-filtration of the Zariski spectrum satisfying the “slice” …

Over a commutative noetherian ring R of finite Krull dimension, we show that every complex
of flat cotorsion R-modules decomposes as a direct sum of a minimal complex and a …

For a commutative ring $ R $, we exploit localization techniques and point-free topology to
give an explicit realization of both the Zariski frame of $ R $(the frame of radical ideals in $ R …

We develop the theory of costratification in the setting of relative tensor-triangular geometry,
in the sense of Stevenson, providing a unified approach to classification results of Neeman …

For a ring $ A $, we consider the question whether every bounded above cochain complex
of injective $ A $-modules which is acyclic is null-homotopic. We show that if $ A $ is left and …

We prove that, in a triangulated category with combinatorial models, every localizing
subcategory is coreflective and every colocalizing subcategory is reflective if a certain large …

Given a non-positive DG-ring $ A $, associated to it are the reduction and coreduction
functors $ F (-)=\mathrm {H}^ 0 (A)\otimes^{\mathrm {L}} _A-$ and $ G (-)=\mathrm …

We give necessary and sufficient conditions for stratification and costratification to descend
along a coproduct preserving, tensor-exact R-linear functor between R-linear tensor …