Ore擴充的廣義中心子

Extend Centroid of Ore Extensions

許育嘉(Yu-Chia Hsu)

指導教授 ： 蔡援宗

大同大學/電機資訊學院/應用數學學系所/碩士(2008年)

摘要

設R是一個質環。
R[X;D]是R對D所成的Ore擴充，這裡D是X相對應的導算集合。
如果X的基數超過2，則R[X;D]的廣義中心子是集合
C^D ={ alpha in C | delta(alpha)=0 for all delta in D}，在這C是R的廣義中心子。

關鍵字

廣義中心子 ； Ore擴充

並列摘要

Let R be a prime ring and R[X;D] be the Ore extension of R by
a sequence D of derivations of R. If X has cardinality >=
2, we show that the extended centroid of R[X;D] is the set
C^D ={ alpha in C | delta(alpha)=0 for all delta in D}, where C is the extended centroid of R.

並列關鍵字

Extend Centroid ； Ore Extensions

參考文獻

of quotients of free algebras, Algebra and Logic, Vol. 35,

York, 1996.

[3] V.D. Burkov, Differentially prime rings, (Russian) Uspekhi

[4] A. Leroy and J. Matczuk, The extended centroid and X-inner

automorphisms of Ore extensions, J. Algebra 145(1) (1992),