On the commutativity conditions for rings and Γ-rings

被引:0
|
作者
Kandamar, Hatice [1 ]
Arslan, Okan [1 ]
机构
[1] Adnan Menderes Univ, Dept Math, Aydin, Turkey
来源
关键词
commutativity; prime ring; prime Gamma-ring; ideal;
D O I
10.15672/hujms.701857
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Let R be any ring. In this paper we observe the relation between the center of R-ring R and the center of usual ring R and then prove if the center of R-ring R is nonzero, then R is commutative as a ring. We also show that the common hypothesis a alpha b beta c = a beta b alpha c for all a, b, c. M and a, beta is an element of Gamma for a weak Nobusawa Gamma-ring M is sufficent for M to be commutative. Also, we investigate some conditions on ideals of Gamma-ring that make M to be commutative.
引用
收藏
页码:1660 / 1666
页数:7
相关论文
共 50 条