A Note on Additive Groups of Some Specific Associative Rings

Woronowicz, Mateusz

doi:10.1515/amsil-2015-0013

Abstract

Almost complete description of abelian groups (A, +, 0) such that every associative ring R with the additive group A satisfies the condition: every subgroup of A is an ideal of R, is given. Some new results for SR-groups in the case of associative rings are also achieved. The characterization of abelian torsion-free groups of rank one and their direct sums which are not nil-groups is complemented using only elementary methods.

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A Note on Additive Groups of Some Specific Associative Rings

Abstract

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