14 citations · 45 across the 8 of their papers we have counts for
5 papers · 1 filter
Pure-injective hulls of modules over valuation rings
Francois Couchot
If R\hat{R}\otimes\_RMMM$. Moreove…
Injective modules and fp-injective modules over valuation rings
Francois Couchot
It is shown that each almost maximal valuation ring R such that every indecomposable injective module is countably generated, satisfies the following condition (C): each fp-injecti…
Modules with RD-composition series over a commutative ring
Francois Couchot
If R is a commutative ring, we prove that every finitely generated module has a pure-composition series with indecomposable factors and any two such series are isomorphic if and on…
The lambda-dimension of commutative arithmetic rings
Francois Couchot
It is shown that every commutative arithmetic ring has -dimension . An example of a commutative Kaplansky ring with -dimension 3 is given. If satis…
Local rings of bounded module type are almost maximal valuation rings
Francois Couchot
It is shown that every commutative local ring of bounded module type is an almost maximal valuation ring.