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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!