Commuting Nilpotent Operators and Maximal Rank

Date

2010-01-01

Author

Öztürk, Semra

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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

Collections

Department of Mathematics, Article