Some minimal rings related to 2-primal rings

被引:10
|
作者
Szabo, Steve [1 ]
机构
[1] Eastern Kentucky Univ, Dept Math & Stat, Richmond, KY 40475 USA
关键词
Finite rings; reversible rings; semicommutative rings; abelian rings; symmetric rings; minimal rings; NI rings; reflexive rings; reduced rings; duo rings; 2-primal rings; NONCOMMUTATIVE RINGS; ORDER;
D O I
10.1080/00927872.2018.1503284
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In a paper on the taxonomy of 2-primal rings, examples of various types of rings that are related to commutativity such as reduced, symmetric, duo, reversible and PS I were given in order to show that the ring class inclusions were strict. Many of the rings given in the examples were infinite. In this paper, where possible, examples of minimal finite rings of the various types are given. Along with the rings in the previous taxonomy, NI, abelian and reflexive rings are also included.
引用
收藏
页码:1287 / 1298
页数:12
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