Professor Phill Schultz's talk(上午10:30-11:30)
2006-07-06 来源:数学科学研究中心活动地点:
活动类型:学术报告
主讲人:Phill Schultz
活动时间:
活动内容:
1. 数 学 演 讲
Lecturer: Professor Phill Schultz
School of Mathematics and Statistics,
University of Western Australia
Title: Invariant submodules of a module
Time:July 14 (周五) 10:30-11:30am, 2006;
Place:浙江大学数学中心202室
Abstract:An important problem in module theory is to describe the structure of the lattice of fully invariant sub- modules of a module. This problem has been solved for several classes of modules, for example torsion abelian groups, but little is known in general. In particular, it is a problem of current interest in the theory of torsion--free abelian groups.
In this talk I describe a general method for constructing fully invariant submodules of a module and describe several classes of torsion--free abelian groups for which the method determines the lattice of all fully invariant subgroups.