This article is cited in 9 papers

Generalized uniserial rings

Yu. A. Drozd

Kiev State University

Abstract: The following conditions are shown to be equivalent: 1) ring $A$ is generalized uniserial (not necessarily artinian); 2) every finitely presented $A$ module is semiserial; 3) $A$ is semiperfect and the projective cover of every indecomposable finitely presented module is indecomposable.

UDC: 512

Received: 15.04.1975

 English version: Mathematical Notes, 1975, 18:5, 1011–1014

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