A class of principal ideal rings arising from the converse of the Chinese remainder theorem.
A natural map from the ext Künneth sequence to the Tor one.
A simple proof of uniqueness for torsion modules over principal ideal domains.
The aim of this note is to give an alternative proof of uniqueness for the decomposition of a finitely generated torsion module over a P.I.D. (= principal ideal domain) as a direct sum of indecomposable submodules.Our proof tries to mimic as far as we can the standard procedures used when dealing with vector spaces.For the sake of completeness we also include a proof of the existence theorem.
A theory of multiplicity for multiplictive filtrations.
An example of a Fréchet algebra which is a principal ideal domain
We construct an example of a Fréchet m-convex algebra which is a principal ideal domain, and has the unit disk as the maximal ideal space.
Anneaux locaux et unisériels
Artin's conjecture on primes with prescribed primitive roots