108 citations · 754 across the 37 of their papers we have counts for
38 papers
Topologically semiperfect topological rings
Leonid Positselski, Jan Stovicek
We define topologically semiperfect (complete, separated, right linear) topological rings and characterize them by equivalent conditions. We show that the endomorphism ring of a mo…
Derived, coderived, and contraderived categories of locally presentable abelian categories
Leonid Positselski, Jan Stovicek
For a locally presentable abelian category with a projective generator, we construct the projective derived and contraderived model structures on the category of comple…
Projective covers of flat contramodules
Silvana Bazzoni, Leonid Positselski, Jan Stovicek
We show that a direct limit of projective contramodules (over a right linear topological ring) is projective if it has a projective cover. A similar result is obtained for …
Topologically semisimple and topologically perfect topological rings
Leonid Positselski, Jan Stovicek
Extending the Wedderburn-Artin theory of (classically) semisimple associative rings to the realm of topological rings with right linear topology, we show that the abelian category…
On flat generators and Matlis duality for quasicoherent sheaves
Alexander Slávik, Jan Stovicek
We show that for a quasicompact quasiseparated scheme , the following assertions are equivalent: (1) the category of all quasicoherent sheaves on ha…
Flat ring epimorphisms and universal localisations of commutative rings
Lidia Angeleri Hügel, Frederik Marks, Jan Stovicek +2
We study different types of localisations of a commutative noetherian ring. More precisely, we provide criteria to decide: (a) if a given flat ring epimorphism is a universal local…