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On nilpotent matrices. (Russian) Zbl 0602.15019

The authors pursue a pedagogical objective: to present some well-known facts about nilpotent matrices and nilpotent algebras of matrices in clearly understandable form and from different points of view. The first section treats some results dealing with ranks, indices of nilpotency, images, invariant subspaces of nilpotent matrices, etc. from the viewpoint of linear transformations of linear spaces while the second section treats them from the viewpoint of ring theory.
Reviewer: B.Reichstein

MSC:

15B57 Hermitian, skew-Hermitian, and related matrices
15A04 Linear transformations, semilinear transformations
15A30 Algebraic systems of matrices
16S50 Endomorphism rings; matrix rings
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