A Note on Abelian Groups Supporting Unital Rings
Mateusz Woronowicz
Faculty of Mathematics, University of BialystokBialystok, Poland
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Jun 07, 2024
About this article
Published Online: Jun 07, 2024
Page range: 170 - 176
Received: May 10, 2023
Accepted: May 19, 2024
DOI: https://doi.org/10.2478/amsil-2024-0016
Keywords
© 2024 Mateusz Woronowicz, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
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.