Question

Rank of a matrix from its order of nilpotency

score 1k · Answer 1 · 2026-04-17 12:02:13

1k

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Rank of a matrix from its order of nilpotency

Published on 17 Apr 2026 - 12:02

score 471 · Answer 2 · 2026-04-10 05:13:26

471

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Nilpotent matrix and direct sum

Published on 10 Apr 2026 - 5:13

score 318 · Answer 3 · 2026-04-14 20:06:15

318

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

Published on 14 Apr 2026 - 20:06

score 104 · Answer 4 · 2026-05-06 03:52:05

104

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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 06 May 2026 - 3:52

score 261 · Answer 5 · 2026-04-10 03:53:02

261

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

Published on 10 Apr 2026 - 3:53

score 220 · Answer 6 · 2026-04-14 03:56:24

220

Views

Prove that the operator is nilpotent

Published on 14 Apr 2026 - 3:56

score 61 · Answer 7 · 2026-05-02 05:40:24

61

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Idempotents over a ring with zero divisors

Published on 02 May 2026 - 5:40

score 268 · Answer 8 · 2026-04-14 15:34:41

268

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

Published on 14 Apr 2026 - 15:34

score 1.1k · Answer 9 · 2026-04-09 11:25:17

1.1k

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Finding Jordan Basis of a nilpotent matrix

Published on 09 Apr 2026 - 11:25

score 152 · Answer 10 · 2026-04-13 14:50:35

152

Views

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

Published on 13 Apr 2026 - 14:50

score 764 · Answer 11 · 2026-04-12 14:54:03

764

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Sums of Nilpotent Matrices

Published on 12 Apr 2026 - 14:54

score 132 · Answer 12 · 2026-04-15 18:41:10

132

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

Published on 15 Apr 2026 - 18:41

score 115 · Answer 13 · 2026-04-12 03:35:52

115

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g+h is an isomorphism (nilpotent linear map)

Published on 12 Apr 2026 - 3:35

score 160 · Answer 14 · 2026-04-11 20:42:04

160

Views

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

Published on 11 Apr 2026 - 20:42

score 62 · Answer 15 · 2026-04-16 13:20:33

62

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

Published on 16 Apr 2026 - 13:20

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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