A commutativity theorem for rings

A commutativity theorem for rings
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DOI:
10.1017/s0004972700023029
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发表时间:
1977-02
影响因子:
0.7
通讯作者:
S. Ligh;A. Richoux
S. Ligh;A. Richoux
中科院分区:
数学4区
文献类型:
--
作者:
S. Ligh;A. Richoux

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设R是有单位元的环,对R中的每个x,y,对三个连续正整数k,(xy)k = xkyk.本文证明了R是交换环。
Let R be a ring with an identity and for each x, y in R, (xy)k = xkyk for three consecutive positive integers k. It is shown in this note that R is a commutative ring.