131 citations · 953 across the 64 of their papers we have counts for
6 papers · 1 filter
Exact categories of topological vector spaces with linear topology
Leonid Positselski
We explain why the naive definition of a natural exact category structure on complete, separated topological vector spaces with linear topology fails. In particular, contrary to ar…
Flat commutative ring epimorphisms of almost Krull dimension zero
Leonid Positselski
We consider flat epimorphisms of commutative rings such that, for every ideal for which , the quotient ring is semilocal of Krull dimension zero.…
An explicit self-dual construction of complete cotorsion pairs in the relative context
Leonid Positselski
Let be a homomorphism of associative rings, and let be a hereditary complete cotorsion pair in . Let $(\mathcal F_A,\mathcal C_A)…
Unbounded derived categories of small and big modules: Is the natural functor fully faithful?
Leonid Positselski, Olaf M. Schnürer
Consider the obvious functor from the unbounded derived category of all finitely generated modules over a left noetherian ring to the unbounded derived category of all modules.…
Remarks on derived complete modules and complexes
Leonid Positselski
Let be a commutative ring and a finitely generated ideal. We discuss two definitions of derived -adically complete (also derived -torsion) complexes of -m…
Cofibrant generation of pure monomorphisms
Michael Lieberman, Leonid Positselski, Jiri Rosicky +1
We show that pure monomorphisms are cofibrantly generated---generated from a set of morphisms by pushouts, transfinite composition, and retracts---in any locally finitely presentab…