Question

Typo in Lang's Algebra, Proposition X.2.5.: if $a_M$ is not locally nilpotent, there exists $x \in M$ such that $a^n x = 0$ for all $n \geq 0$?

score 341 · Answer 1 · 2026-04-17 07:05:51

341

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Typo in Lang's Algebra, Proposition X.2.5.: if $a_M$ is not locally nilpotent, there exists $x \in M$ such that $a^n x = 0$ for all $n \geq 0$?

Published on 17 Apr 2026 - 7:05

score 116 · Answer 2 · 2026-04-16 08:39:01

116

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Typical dimension of eigenspace

Published on 16 Apr 2026 - 8:39

score 314 · Answer 3 · 2026-04-11 07:50:23

314

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Nilpotent endomorphism and Jordan matrix

Published on 11 Apr 2026 - 7:50

score 1.2k · Answer 4 · 2026-04-08 18:52:56

1.2k

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Norm of a nilpotent matrix

Published on 08 Apr 2026 - 18:52

score 518 · Answer 5 · 2026-04-09 14:15:13

518

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nilpotent linear transformation and its adjoint exercise

Published on 09 Apr 2026 - 14:15

score 244 · Answer 6 · 2026-04-16 23:00:32

244

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$G$ nilpotent of class $c$ and derived length $d\;\Rightarrow d\le1+\log_2c$

Published on 16 Apr 2026 - 23:00

score 482 · Answer 7 · 2026-05-11 08:01:58

482

Views

The Jacobson radical of a polynomial ring is contained in the nilradical.

Published on 11 May 2026 - 8:01

score 1k · Answer 8 · 2026-04-10 22:08:57

1k

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Linear independent vectors of nilpotent transformation

Published on 10 Apr 2026 - 22:08

score 6.9k · Answer 9 · 2026-04-15 06:38:48

6.9k

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Prove that the characteristic polynomial of a nilpotent matrix is $x^n$

Published on 15 Apr 2026 - 6:38

score 121 · Answer 10 · 2026-04-10 08:30:48

121

Views

Nilpotent groups and their automorphisms

Published on 10 Apr 2026 - 8:30

score 552 · Answer 11 · 2026-04-15 07:26:40

552

Views

On the nilpotence of the matrix $AB-BA$

Published on 15 Apr 2026 - 7:26

score 12.8k · Answer 12 · 2026-04-12 04:30:37

12.8k

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Upper bound for the rank of a nilpotent matrix , if $A^2 \ne 0$

Published on 12 Apr 2026 - 4:30

score 187 · Answer 13 · 2026-04-13 11:36:55

187

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Prime radical that is nil but not nilpotent

Published on 13 Apr 2026 - 11:36

score 182 · Answer 14 · 2026-04-13 10:07:10

182

Views

How to apply Vandemonde determinant to show nilpotent here?

Published on 13 Apr 2026 - 10:07

score 214 · Answer 15 · 2026-04-16 02:26:19

214

Views

A doubt about lower nil radical while proving 2-primality of ring.( Baer-McCoy Radical)

Published on 16 Apr 2026 - 2:26

List Question

Typo in Lang's Algebra, Proposition X.2.5.: if $a_M$ is not locally nilpotent, there exists $x \in M$ such that $a^n x = 0$ for all $n \geq 0$?

Typical dimension of eigenspace

Nilpotent endomorphism and Jordan matrix

Norm of a nilpotent matrix

nilpotent linear transformation and its adjoint exercise

$G$ nilpotent of class $c$ and derived length $d\;\Rightarrow d\le1+\log_2c$

The Jacobson radical of a polynomial ring is contained in the nilradical.

Linear independent vectors of nilpotent transformation

Prove that the characteristic polynomial of a nilpotent matrix is $x^n$

Nilpotent groups and their automorphisms

On the nilpotence of the matrix $AB-BA$

Upper bound for the rank of a nilpotent matrix , if $A^2 \ne 0$

Prime radical that is nil but not nilpotent

How to apply Vandemonde determinant to show nilpotent here?

A doubt about lower nil radical while proving 2-primality of ring.( Baer-McCoy Radical)

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