English

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

Rings and Algebras 2007-05-23 v1 Analysis of PDEs

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.

Keywords

Cite

@article{arxiv.math/0702443,
  title  = {The Jordan normal base in lattices and nilpotent endomorphisms of finitely generated semisimple modules},
  author = {Jeno Szigeti},
  journal= {arXiv preprint arXiv:math/0702443},
  year   = {2007}
}

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6 pages