Geodesic
Comultiplication modules over a pullback of Dedekind domains
Czechoslovak Mathematical Journal, Tome 59 (2009) no. 4, pp. 1103-1114

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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.
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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     author = {Atani, Reza Ebrahimi and Atani, Shahabaddin Ebrahimi},
     title = {Comultiplication modules over a pullback of {Dedekind} domains},
     journal = {Czechoslovak Mathematical Journal},
     pages = {1103--1114},
     publisher = {mathdoc},
     volume = {59},
     number = {4},
     year = {2009},
     mrnumber = {2563581},
     zbl = {1224.13012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMJ_2009__59_4_a18/}
}
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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/