Original Articles

THE ADDITIVE GROUPS OF RINGS WITH TOTALLY ORDERED LATTICE OF IDEALS

Published in: Quaestiones Mathematicae
Volume 4 , issue 4 , 1981 , pages: 331–335

DOI: 10.1080/16073606.1981.9632254

Author(s): Shalom , Feigel stock , Israel

Abstract

The object of this paper is to describe the additive groups of rings R satisfying the following condition: For any two ideals A,B in R either A u B, or B u A. Such rings will be called TOLI rings. The rings considered here are not necessarily associative or with identity.

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