Article ID Journal Published Year Pages File Type
4588430 Journal of Algebra 2008 13 Pages PDF
Abstract

Some classical linear algebra results are translated to the language of lattices. In particular, we formulate a Jordan normal base theorem for nilpotent join homomorphisms. As an application, we obtain the existence of a Jordan normal base in a semisimple module with respect to a given nilpotent endomorphism.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory