Original Articles

Additive Groups of Commutative Rings

Published in: Quaestiones Mathematicae
Volume 23 , issue 2 , 2000 , pages: 241–245

DOI: 10.2989/16073600009485973

Author(s): Shalom Feigelstock

Abstract

Abelian groups G, with addition the group operation, satisfying the property that every ring R with additive group R ⁺ = G is commutative, are studied. A complete description of these groups is obtained for torsion groups and completely decomposable torsion free groups.

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