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ring; prime; slender
If $R$ is a prime ring such that $R$ is not completely reducible and the additive group $R(+)$ is not complete, then $R$ is slender.
[1] Anderson F.W., Fuller K.R.: Rings and Categories of Modules, $2^{nd}$ edition. Springer New York (1992). MR 1245487 | Zbl 0765.16001
[2] El Bashir R., Kepka T.: On when small semiprime rings are slender. to appear. Zbl 0854.16015
[3] Dimitrić R.: Slender modules over domains. Commun. in Algebra 11 (1983), 1685-1700. MR 0702414
[4] Eklof P., Mekler A.: Almost Free Modules. North-Holland New York (1990). MR 1055083 | Zbl 0718.20027
[5] Heinlein G.: Vollreflexive Ringe und schlanke Moduln. Dissertation Erlangen (1971).
[6] Nunkee R.: Slender groups. Acta Sci. Math. Szeged 23 (1962), 67-73. MR 0144968
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