The strong nilpotency index of a matrix
classification
🧮 math.AG
math.RA
keywords
indexnilpotencystrongmatricesapplydescribedivisionknown
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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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