Vol. 31, No. 2, 1969

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On commutative rings over which the singular submodule is a direct summand for every module

Vasily Cateforis and Francis Louis Sandomierski

Vol. 31 (1969), No. 2, 289–292
Abstract

A commutative ring R with 1 over which the singular submodule is a direct summand for every module, is a semihereditary ring with finitely many large ideals. A commutative semi-simple (with d.c.c.) ring is characterized by the property that every semi-simple module is injective.

Mathematical Subject Classification
Primary: 13.50
Milestones
Received: 18 February 1969
Published: 1 November 1969
Authors
Vasily Cateforis
Francis Louis Sandomierski