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math.RA2007
Valuation domains whose products of free modules are separable
Francois Couchot
It is proved that if is a valuation domain with maximal ideal and if is countably generated for each prime ideal , then is separable if and only is max…
math.RA2007★ 3 cited
Flat modules over valuation rings
Francois Couchot
Let be a valuation ring and let be its total quotient ring. It is proved that any singly projective (respectively flat) module is finitely projective if and only if is…
math.RA2007
Localization of injective modules over arithmetical rings
Francois Couchot
It is proved that localizations of injective -modules of finite Goldie dimension are injective if is an arithmetical ring satisfying the following condition: for every maxim…