ON DERIVATIONS OF PRIME NEAR-RINGS

被引：0
|
作者：
王学宽
机构：
[1] Hubei University
[2] PRC
[3] Department of Mathematics
[4] Wuhan 430062
来源：
Science Bulletin | 1992年 / 10期
关键词：
Th; ON DERIVATIONS OF PRIME NEAR-RINGS;
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学科分类号：
摘要：
The near-rings in this letter always stand for zero-symmetric left nor-rings. An additive endomorphism D of a near-ring N is called a derivation on N if D(xy) =xD(y) +D(x)y for all x, y ∈ N. A near-ring N is said to be prime if xNy={0} for x, y ∈ N implies that either x=0 or y=0. Since additions of near-rings are not necessarily commutative, the following Lemma 1 has its own significance.
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页码：874 / 874
页数：1
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