Question

Rank of a matrix from its order of nilpotency

score 1k · Answer 1 · 2026-03-25 03:02:50

1k

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Rank of a matrix from its order of nilpotency

Published on 25 Mar 2026 - 3:02

score 468 · Answer 2 · 2026-03-17 05:22:56

468

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Nilpotent matrix and direct sum

Published on 17 Mar 2026 - 5:22

score 315 · Answer 3 · 2026-03-17 21:02:20

315

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In a commutative algebra, every nil ideal is nilpotent, right?

Published on 17 Mar 2026 - 21:02

score 96 · Answer 4 · 2026-03-17 11:12:11

96

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Can any linear map, $\phi$, can be expressed a as $\phi = S + N - N^T,$ where $S$ is a self-adjoint and $N$ is a nilpotent map

Published on 17 Mar 2026 - 11:12

score 258 · Answer 5 · 2018-04-13 22:13:23

258

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Showing a Matrix is Nilpotent of a certain degree using only properties of matrix multiplication/summations

Published on 13 Apr 2018 - 22:13

score 217 · Answer 6 · 2026-03-17 03:50:05

217

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Prove that the operator is nilpotent

Published on 17 Mar 2026 - 3:50

score 55 · Answer 7 · 2026-03-17 12:55:08

55

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Idempotents over a ring with zero divisors

Published on 17 Mar 2026 - 12:55

score 265 · Answer 8 · 2026-03-17 20:15:26

265

Views

For matrix $A$, if $A^4 = 0$ does this also mean that $A^2 = 0$?

Published on 17 Mar 2026 - 20:15

score 1.1k · Answer 9 · 2026-03-17 07:21:12

1.1k

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Finding Jordan Basis of a nilpotent matrix

Published on 17 Mar 2026 - 7:21

score 150 · Answer 10 · 2026-03-25 01:25:58

150

Views

Proving a ring $A$, generated by Noetherian subring and nilpotent element, is Noetherian again.

Published on 25 Mar 2026 - 1:25

score 760 · Answer 11 · 2026-03-16 23:56:17

760

Views

Sums of Nilpotent Matrices

Published on 16 Mar 2026 - 23:56

score 129 · Answer 12 · 2018-05-12 08:14:58

129

Views

On the central series of the group of unitriangular matrices over a commutative, unitary ring

Published on 12 May 2018 - 8:14

score 112 · Answer 13 · 2026-03-17 16:30:08

112

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g+h is an isomorphism (nilpotent linear map)

Published on 17 Mar 2026 - 16:30

score 157 · Answer 14 · 2018-05-16 14:04:44

157

Views

Can the operator $\operatorname{id}_V-(AB-BA)$ be nilpotent in the infinite-dimensional case.

Published on 16 May 2018 - 14:04

score 59 · Answer 15 · 2018-05-19 20:12:08

59

Views

For all $A, B \in \mathcal{M}_n(\mathbb{C})$, if $[A, [A, B]] = 0$, then $[A, B]$ is nilpotent

Published on 19 May 2018 - 20:12

List Question

Rank of a matrix from its order of nilpotency

Nilpotent matrix and direct sum

In a commutative algebra, every nil ideal is nilpotent, right?

Can any linear map, $\phi$, can be expressed a as $\phi = S + N - N^T,$ where $S$ is a self-adjoint and $N$ is a nilpotent map

Showing a Matrix is Nilpotent of a certain degree using only properties of matrix multiplication/summations

Prove that the operator is nilpotent

Idempotents over a ring with zero divisors

For matrix $A$, if $A^4 = 0$ does this also mean that $A^2 = 0$?

Finding Jordan Basis of a nilpotent matrix

Proving a ring $A$, generated by Noetherian subring and nilpotent element, is Noetherian again.

Sums of Nilpotent Matrices

On the central series of the group of unitriangular matrices over a commutative, unitary ring

g+h is an isomorphism (nilpotent linear map)

Can the operator $\operatorname{id}_V-(AB-BA)$ be nilpotent in the infinite-dimensional case.

For all $A, B \in \mathcal{M}_n(\mathbb{C})$, if $[A, [A, B]] = 0$, then $[A, B]$ is nilpotent

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