François Couchot

most citedPure-injective hulls of modules over valuation rings

7 citations · 7 across the 3 of their papers we have counts for

collaborators

3 papers

math.RA2004★ 7 cited

Pure-injective hulls of modules over valuation rings

Francois Couchot

If $R^i s t h e p u r e - inj ec t i v e h u l l o f a v a l u a t i o n r in g$ R $, i t i s p r o v e d t ha t$ \hat{R}\otimes\_RM $i s t h e p u r e - inj ec t i v eo f$ M $, f or e a c h f ini t e l y g e n er a t e d m o d u l e$ M$. Moreove…

math.RA2004

Commutative Local Rings of bounded module type

Francois Couchot

It is shown that a local ring R of bounded module type is an almost maximal valuation ring if there exists a non-maximal prime ideal J such that R/J is a maximal valuation domain.

math.RA2004

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.