<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

A Note on Abelian Groups Supporting Unital Rings

Faculty of Mathematics, University of Bialystok

Annales Mathematicae Silesianae

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"A Note on Abelian Groups Supporting Unital Rings"}

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...

A Note on Abelian Groups Supporting Unital Rings

Publié en ligne: 07 juin 2024

Pages: -

Reçu: 10 mai 2023

Accepté: 19 mai 2024

DOI: https://doi.org/10.2478/amsil-2024-0016

Mots clés
abelian groups, additive groups of rings, unital rings

© 2024 Mateusz Woronowicz, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

A Note on Abelian Groups Supporting Unital Rings

Publié en ligne: 07 juin 2024

Pages: -

Reçu: 10 mai 2023

Accepté: 19 mai 2024

DOI: https://doi.org/10.2478/amsil-2024-0016

Mots clésabelian groups, additive groups of rings, unital rings

© 2024 Mateusz Woronowicz, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Mots clés
abelian groups, additive groups of rings, unital rings