Abstract
It is shown that each left R module is isomorphic to a direct sum of left ideals of the ring R if and only if R is quasi-Frobenius and generalized uniserial.
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Translated from Matematicheskie Zametki, Vol. 20, No. 2, pp. 187–193, August, 1976.
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Skornyakov, L.A. Decomposability of modules into a direct sum of ideals. Mathematical Notes of the Academy of Sciences of the USSR 20, 665–668 (1976). https://doi.org/10.1007/BF01155870
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DOI: https://doi.org/10.1007/BF01155870