GENERALIZED BALANCED IDEALS

Original Articles

GENERALIZED BALANCED IDEALS

Published in: Quaestiones Mathematicae
Volume 11 , issue 1 , 1988 , pages: 65–71
DOI: 10.1080/16073606.1988.9631943
Author(s): TG Schultz Department of Mathematics, SOUTH AFRICA

Abstract

A criterion, which ensures that the uniform dimension of a module equals that of its endomorphism ring, is presented and applied to cyclic modules. Furthermore, properties for a left ideal, for which the endomorphism ring of the associated cyclic module is a semi prime Goldie ring, are derived.

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