Noether环上线性拓扑的稳定性  

STABILITY OF LINEAR TOPOLOGIES OVER NOETHERIAN RINGS

作　　者：徐邦腾[1] 

机构地区：[1]黄冈师范专科学校

出　　处：《数学杂志》1991年第1期23-28,共6页Journal of Mathematics

摘　　要：对 Noether 环 A 上的任意一个有界线性拓扑(?),本文给出了 A 上的有限生成模是(?)—stable 模的一个刻画,并利用这个刻画得到了(?)是稳定的一个特征。这些结果将 Noether环上的 Artin-Rees 模的性质揭示得十分清楚明了。本文还给出了 Artin 环上的模是稳定模的一个刻画以及 Noether 环和 FBN 环上的 Gabriel 拓扑是稳定的几个特征。本文的工作改进和推广了不少已有的结果。In this paper we have given a characterization for finitely generatedmodules over a Noetherian ring A to be (?) stable for a linear topology (?)over A,and,from which we obtained a characterization for (?) to be stable.These results clearly reveal the properties of Artin-Rees modules over Noe-therian rings.Moreover,we also have given a characterization for modulesover Artinian rings to be stable and sevear ones for stable Gabriel topologiesover Noetherian rings or FBN rings.Many known results have been improvedand developed by our work.

关 键 词：NOETHER环 线性拓扑 稳定性 

分 类 号：O153.3[理学—数学]