Geodesic
Comultiplication modules over a pullback of Dedekind domains
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 4, pp. 1103-1114 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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First, we give complete description of the comultiplication modules over a Dedekind domain. Second, if $R$ is the pullback of two local Dedekind domains, then we classify all indecomposable comultiplication $R$-modules and establish a connection between the comultiplication modules and the pure-injective modules over such domains.
First, we give complete description of the comultiplication modules over a Dedekind domain. Second, if $R$ is the pullback of two local Dedekind domains, then we classify all indecomposable comultiplication $R$-modules and establish a connection between the comultiplication modules and the pure-injective modules over such domains.
Classification : 13C05, 13C13, 16D70
Keywords: pullback; separated modules and representations; non-separated modules; comultiplication modules; dedekind domain; pure-injective modules; Prüfer modules 
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}
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Atani, Reza Ebrahimi; Atani, Shahabaddin Ebrahimi. Comultiplication modules over a pullback of Dedekind domains. Czechoslovak Mathematical Journal, Tome 59 (2009) no. 4, pp. 1103-1114. http://geodesic.mathdoc.fr/item/CMJ_2009_59_4_a18/

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