Deriations and All-Derivable Points on Triangular Rings
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Deriations and All-Derivable Points on Triangular Rings
三角环上导子和全可导点
Vol. 32, Issue 2, Pages: 123-127(2011)
作者机构:
太原理工大学理学院
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Published:2011
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李世艳, 侯晋川. Deriations and All-Derivable Points on Triangular Rings[J]. 2011, 32(2): 123-127.
DOI:
李世艳, 侯晋川. Deriations and All-Derivable Points on Triangular Rings[J]. 2011, 32(2): 123-127.DOI:
Deriations and All-Derivable Points on Triangular Rings
摘要
设Y=T ri(A
B
M)为三角环
元素Z∈U.若Y上的每个在Z点可导的可加映射(即:对任意的A
B∈U且AB=Z
有δ(A)B+Aδ(B)=δ(Z)成立)都是导子
则称Z为Y的可加全可导点.本文获得了三角环的一些全可导点.
Abstract
Let Y=Tri(A
B
M) be a triangular ring.An element Z∈U is called an additive all-derivable point of Y if every additive map δ from U into itself derivable at Z(i.e.δ(A)B+Aδ(B)=δ(Z) for any A
B∈U with AB=Z) is a derivation.Some additively all-derivable points for triangular rings are obtained.
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references
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