摘要
本文讨论了带某种微商准质类的环。设R是非交换质环,I是R的非零理想,D是R上微商的一个准质类。若对任意(?)∈D,均有一个正奇数n使对任意(?)(x)∈(I)∩I,有((?)(x))~n∈Z(R)(R的中心),则当charR≠2时,R在其中心上的分式环为四维可除代数。
In this paper, the primary class of derivations for rings and the structure of rings is studied.Let R be a prime ring, I be an ideal in R, I≠0, D be a primary class of derivations for R. For any ∈D, there is an odd integer n>0, for any (x)∈D(I) ∩I, ((x))~x∈Z(R), when charR≠2, then R_Z is 4-dimension division algebra over its center.
出处
《吉林大学自然科学学报》
CSCD
1990年第4期21-27,共7页
Acta Scientiarum Naturalium Universitatis Jilinensis
关键词
微商
准质类
环
分式环
内微商
the primary class of derivations for rings, the fraction rings of R over its center, inner derivation
