The strong nilpotency index of a matrix

Details The strong nilpotency index of a matrix The strong nilpotency index of a matrix

2012-03-29

arxiv.org/abs/1203.6615v1

Mathematics

Algebraic Geometry

11 pages

Scientific paper

It is known that strongly nilpotent matrices over a division ring are
linearly triangularizable. We describe the structure of such matrices in terms
of the strong nilpotency index. We apply our results on quasi-translation x + H
such that JH has strong nilpotency index two.

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