A note on additive groups of some specific associative rings
Journal Title: Annales Mathematicae Silesianae - Year 2016, Vol 30, Issue
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.
Authors and Affiliations
Mateusz Woronowicz
Keywords
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