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math.RA2026
Homomorphisms of topological rings and change-of-scalar functors
Leonid Positselski
We consider homomorphisms of complete, separated right or two-sided linear topological rings with countable bases of neighborhoods of zero $\mathfrak f\colon\mathfrak R\to\mathfrak…
math.RA2025
A relative version of Bass' theorem about finite-dimensional algebras
Leonid Positselski
As a special case of Bass' theory of perfect rings, one obtains the assertion that, over a finite-dimensional associative algebra over a field, all flat modules are projective. In…
math.RA2024
A contramodule generalization of Neeman's flat and projective module theorem
Leonid Positselski
This paper builds on top of arXiv:2306.02734. We consider a complete, separated topological ring with a countable base of neighborhoods of zero consisting of open two…