Extend Centroid of Ore Extensions

• Main Authors: Yu-Chia Hsu, 許育嘉
• Other Authors: Yuan-Tsung Tsai
• Format: Others
• Language: en_US
• Published: 2008
• Online Access: http://ndltd.ncl.edu.tw/handle/94732556134412410083

碩士 === 大同大學 === 應用數學學系(所) === 96 === 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.