The Jordan normal base in lattices and nilpotent endomorphisms of finitely generated semisimple modules

Details The Jordan normal base in lattices and nilpotent endomorphisms of finitely generated semisimple modules The Jordan normal base in lattices and nilpotent endomorphisms of finitely generated semisimple modules

2007-02-15

arxiv.org/abs/math/0702443v1

Mathematics

Rings and Algebras

6 pages

Scientific paper

We formulate a lattice theoretical Jordan normal form theorem for certain
nilpotent lattice maps satisfying the so called JNB conditions. As an
application of the general results, we obtain a transparent Jordan normal base
of a nilpotent endomorphism in a …nitely generated semisimple module.

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