学术报告
Utumi Modules-Prof. Dr. Mohamed F. Yousif (Ohio State University, USA)
题目: Utumi Modules
报告人:Prof. Dr. Mohamed F. Yousif (Ohio State University, USA)
时间:2017年5月3日(周三)下午3:30--4:30
地点:首都师范大学本部教学2楼611教室
摘要:A right -module is called a Utumi Module ( -module) if, whenever and are submodules of with and there exist two summands and of such that , and . The class of -modules is a simultaneous and strict generalization of three fundamental classes of modules; namely the quasi-continuous, the square-free and the automorphism-invariant modules. In this talk we show that the class of -modules inherits some of the important features of the aforementioned classes of modules. For example, a -module is clean if and only if it has the finite exchange property if and only if it has the full exchange property. 欢迎全体师生积极参加!