A note on abelian groups supporting unital rings
Abstract
Non-nil abelian groups are classified on which every ring, different from the zero-ring, is unital. It is shown that the assumption on the associativity of the considered rings does not influence the obtained classification. A significant mistake made by other authors studied this topic is corrected.
Keywords
abelian groups; additive groups of rings; unital rings
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Wydział Matematyki, Uniwersytet w Białymstoku Poland
https://orcid.org/0000-0002-9385-1001
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