具有Krull维数的半素环  

A Semiprime Ring with Krull Dimension

作　　者：辛林[1] 

机构地区：[1]福建师范大学数学系

出　　处：《福建师范大学学报（自然科学版）》1990年第1期1-6,共6页Journal of Fujian Normal University：Natural Science Edition

摘　　要：本文讨论了半素环的闭理想性质,引进了强Kasch环的概念并给出半素环是强Kasch环的充分必要条件,最后讨论了强Kasch半素环上具有Krull维数的模的内射包络的自同态环。This paper is divided into three sections. The first section investigates the properties of closed ideals of a semiprime ring. The second section introduces the concept of strongly Kaseh ring and obtains the necessary and sufficient conditions that a semiprime ring is strongly Kasch. The final section investigates the endomorphism ring of injective hull of a module with Krull dimension over the strongly Kasch semiprime ring.

关 键 词：KRULL维数 半素环 闭理想 Kasch环 

分 类 号：O153.3[理学—数学]