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Keywords:
indecomposable prime modules; pullback rings; separated modules
indecomposable prime modules; pullback rings; separated modules
Summary:
First, we give a complete description of the indecomposable prime modules over a Dedekind domain. Second, if $R$ is the pullback, in the sense of [9], of two local Dedekind domains then we classify indecomposable prime $R$-modules and establish a connection between the prime modules and the pure-injective modules (also representable modules) over such rings.
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