摘要
对Von Neumann正则环,Exchange环,CS环和Extending模的理论进行了研究,具体内容包括:(1)对CS环、Von Neumann正则环的关系进行了研究,刻划了它们之间关系;(2)用Extending模对一类Von Neumann正则环进行了刻划;(3)对CS环和Exchange环的关系展开进行了研究,在CS环上刻划了类似于Exchange环的结构.
In this paper, the theories about Von Neumann regular rings, Exchange rings, CS rings and Extending modules are investigated. The relations between CS tings and Neumann regular rings are discussed and the relations of them are given. And then a special class of Von Neumann regular rings is characterized via Extending modules. Finally, the relations between CS rings and Exchange rings are studied and the structure which is similar to Exchange rings is characterized on CS rings.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2007年第6期737-739,共3页
Journal of Sichuan Normal University（Natural Science）
基金
四川省教育厅重点基金资助项目
