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JOURNALS // Matematicheskie Zametki // Archive
Mat. Zametki, 1976 Volume 20, Issue 2, Pages 187–193 (Mi mzm9980)
Decomposability of modules into a direct sum of ideals

L. A. Skornyakov

M. V. Lomonosov Moscow State University

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.

UDC: 512.6

Received: 24.11.1975


 English version: Mathematical Notes, 1976, 20:2, 665–668

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