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math.RA2005
Localization of injective modules over valuation rings
Francois Couchot
It is proved that the localization of an injective module E, over a valuation ring R, at a prime ideal J, is injective if J is not the subset of zero-divisors of R or if J or E is…
math.RA2005
Indecomposable modules and Gelfand rings
Francois Couchot
It is proved that a commutative ring is clean if and only if it is Gelfand with a totally disconnected maximal spectrum. Commutative rings for which each indecomposable module has…