Results 191 to 200 of about 931 (215)

Asymptotics of the Jordan Normal Form of a Random Nilpotent Matrix

Journal of Mathematical Sciences, 2017
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Petrov, F. V., Sokolov, V. V.
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Commutative nilpotent matrix subalgebras.

1973
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On fine matrix representations of nilpotent operators

Acta Mathematica Sinica, 1985
Let H be a complex Hilbert space and A be a nilpotent operator of order n. Put \(H_ k=\ker A^{k+1}\Theta \ker A^ k\), \(P_ k=P_{H_ k}\), \(A_ k=P_ kAP_{k+1}\).
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On the Nilpotence of the S-Radical in Matrix Near-Rings

2005
Let R be a zero-symmetric near-ring with identity and \(M\)n(R) the matrix near-ring associated with R. We prove that the s-radicals Js(R) and Js(\(M\)n(R)) satisfy (Js(R))+ ⊆ Js (Mn(R)), where \(M\)n(R) satisfies the DCCL. We also show that A+ ⊆ A, where A and A are the s-socles of R and \(M\)n(R), respectively.
John F.T. Hartney, Anthony M. Matlala
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Real Neutrosophic Matrix and Real Nilpotent Neutrosophic Matrix

Annals of Pure and Applied Mathematics
Real neutrosophic nilpotent matrices are a special class of matrices characterized by their neutrosophic components, which quantify the indeterminacy in their elements. This paper explores the properties and important results related to real neutrosophic nilpotent matrices.
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The Idempotent and Nilpotent Elements of a Matrix

American Journal of Mathematics, 1936
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Nilpotent and locally nilpotent matrix groups

1976
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On the Nilpotency in Matrix Algebras with Grassmann Entries

2017
In the paper we consider some classes of subalgebras of Mn(E) (for a given n and any n) for E being the Grassmann algebra. We give an estimation of the index of nilpotency of the commutators of length 2 for these classes of matrix algebras.
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Solving the Yang–Baxter-like matrix equation for nilpotent matrices of index three

International Journal of Computer Mathematics, 2018
Duanmei Zhou, Jiu Ding
exaly  

Bound on the Jordan type of a generic nilpotent matrix commuting with a given matrix

Journal of Algebraic Combinatorics, 2013
Anthony Iarrobino
exaly