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.
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页数：7
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