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Commuting Nilpotent Operators and Maximal Rank
Date
2010-01-01
Author
Öztürk, Semra
Metadata
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Let X, (X) over tilde be commuting nilpotent matrices over k with nilpotency p(t), where k is an algebraically closed field of positive characteristic p. We show that if X - (X) over tilde is a certain linear combination of products of pairwise commuting nilpotent matrices, then X is of maximal rank if and only if (X) over tilde is of maximal rank.
Subject Keywords
Computational Theory and Mathematics
,
Applied Mathematics
,
Computational Mathematics
URI
https://hdl.handle.net/11511/48080
Journal
COMPLEX ANALYSIS AND OPERATOR THEORY
DOI
https://doi.org/10.1007/s11785-009-0029-x
Collections
Department of Mathematics, Article
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S. Öztürk, “Commuting Nilpotent Operators and Maximal Rank,”
COMPLEX ANALYSIS AND OPERATOR THEORY
, pp. 901–904, 2010, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/48080.