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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124041We 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.6 pagesRings and AlgebrasAnalysis of PDEs06B23, 06C10, 15A21, 16D60The Jordan normal base in lattices and nilpotent endomorphisms of finitely generated semisimple modulestext