A Note on Abelian Groups Supporting Unital Rings

被引：0

作者：

Woronowicz, Mateusz ^{[1
]}

机构：

[1] Univ Bialystok, Fac Math, 1M Ciolkowskiego St, PL-15245 Bialystok, Poland

来源：

ANNALES MATHEMATICAE SILESIANAE | 2024年

关键词：

abelian groups; additive groups of rings; unital rings; ADDITIVE GROUPS;

D O I：

10.2478/amsil-2024-0016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：7

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