131 citations · 953 across the 64 of their papers we have counts for
6 papers · 1 filter
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…
Covers and direct limits: a contramodule-based approach
Silvana Bazzoni, Leonid Positselski
We present applications of contramodule techniques to the Enochs conjecture about covers and direct limits, both in the categorical tilting context and beyond. In the -tilting-c…
Matlis category equivalences for a ring epimorphism
Silvana Bazzoni, Leonid Positselski
Under mild assumptions, we construct the two Matlis additive category equivalences for an associative ring epimorphism . Assuming that the ring epimorphism is homol…
Pseudo-dualizing complexes of bicomodules and pairs of t-structures
Leonid Positselski
This paper is a coalgebra version of arXiv:1703.04266 and a sequel to arXiv:1607.03066. We present the definition of a pseudo-dualizing complex of bicomodules over a pair of coasso…
Countably generated flat modules are quite flat
Michal Hrbek, Leonid Positselski, Alexander Slávik
We prove that if is a commutative Noetherian ring, then every countably generated flat -module is quite flat, i.e., a direct summand of a transfinite extension of localizati…