关于环的根论中的小理想

On Small Ideal in the Root Theory of Rings

应用ｒ－类的概念得到几个较一般的结果，并定义了右小理想的概念，进而研究了右小理想与Ｊａｃｏｂｓｏｎ根之间的关系，与小环之间的关系。得出了关于小理想遗传的根，并给出了若干关于小理想遗传的根的充分条件及充要条件。

Several more common results are abtained with the r-kind conception, and the concept of right small ideal defined, thereby studing the relations between right small ideal and Jacobson root as well as small ring, obtaining the genetic root about small ideal and presenting several sufficient conditions and sufficient and necessary conditions about the small ideal genetic root.