A generalization of commuting probability of finite rings

被引：5
|
作者：
Dutta, Parama [1 ]
Nath, Rajat Kanti [1 ]
机构：
[1] Tezpur Univ, Dept Math Sci, Sonitpur 784028, Assam, India
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2018年 / 11卷 / 02期
关键词：
Finite ring; commuting probability; Z-isoclinism of rings;
D O I：
10.1142/S1793557118500237
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The aim of this paper is to study the probability that the commutator of an arbitrarily chosen pair of elements, each from two different additive subgroups of a finite non-commutative ring equals a given element of that ring. We obtain several results on this probability including a computing formula, some bounds and characterizations.
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收藏
页数：15
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