Geodesic
On prime modules over pullback rings
Czechoslovak Mathematical Journal, Tome 54 (2004) no. 3, pp. 781-789
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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.
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.
Classification : 13C05, 13C11, 13C13, 13F05, 16D70
Keywords: indecomposable prime modules; pullback rings; separated modules 
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Atani, Shahabaddin Ebrahimi. On prime modules over pullback rings. Czechoslovak Mathematical Journal, Tome 54 (2004) no. 3, pp. 781-789. http://geodesic.mathdoc.fr/item/CMJ_2004_54_3_a19/

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