摘要
引进了环的既约理想的概念,研究了既约理想的性质并得出了理想分解的两个结论:1.环的任一理想均可分解为一些(有限或无限)的既约理想的交.2.Artin环或 Noether环的任意理想均可分解为有限个既约理想的交.
By giving the reduced ideal of the ring and obtaining the folow results:①Every ideal of the ring can be written as intersection of some reduced ideals. ②Every ideal of Artin-ring or Noether- ring can be written as finite intersection of reduced ideals.
出处
《商洛师范专科学校学报》
2001年第4期26-27,共2页
Journal of Shangluo Teachers College