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