A COMMUTATIVITY THEOREM FOR RINGS

被引：0

作者：

KOMATSU, H ^{[1
]}

NISHINAKA, T ^{[1
]}

TOMINAGA, H ^{[1
]}

机构：

[1] OKAYAMA UNIV,DEPT MATH,OKAYAMA 700,JAPAN

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 1991年 / 44卷 / 03期

关键词：

D O I：

10.1017/S0004972700029889

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the following theorem: Let R be a ring, l a positive integer, and n a non-negative integer. If for each x, y is-an-element-of R, either xy = yx or xy = x(n) f(y)x(l) for some f(X) is-an-element-of X2Z[X], then R is commutative.

引用

页码：387 / 389

页数：3

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