莊正良Lee, Tsiu-KwenTsiu-KwenLee2006-07-262018-06-282006-07-262018-06-282003-12-31http://ntur.lib.ntu.edu.tw//handle/246246/20970Let R be a prime ring with d a left R{algebraic derivation. All possible left R{algebraic relations of d are described by a speci¯c ideal of the skew polynomial ring R[x; d]. Moreover, the prime radical and the minimal prime ideals over such ideal are also determined. As an application to the main theorem, the nilpotent case is completely obtained.application/pdf159250 bytesapplication/pdfzh-TW國立臺灣大學數學系暨研究所Prime ringMartindale quotient ringskew polynomial ringalgebraic derivationcentral generator.reporthttp://ntur.lib.ntu.edu.tw/bitstream/246246/20970/1/912115M002012.pdf