Notes on slender prime rings

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Notes on slender prime rings. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 37 (1996), issue 2, pp. 419-422

MSC: 16D70, 16N60, 16W60, 16W80 | MR 1399017 | Zbl 0854.16016

Keywords:
ring; prime; slender

Summary:
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.

References:

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[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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