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 339 · Answer 1 · 2014-04-09 22:50:53

339

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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 09 Apr 2014 - 22:50

score 113 · Answer 2 · 2014-06-04 08:42:00

113

Views

Typical dimension of eigenspace

Published on 04 Jun 2014 - 8:42

score 311 · Answer 3 · 2014-06-06 10:36:53

311

Views

Nilpotent endomorphism and Jordan matrix

Published on 06 Jun 2014 - 10:36

score 1.2k · Answer 4 · 2014-06-06 19:24:23

1.2k

Views

Norm of a nilpotent matrix

Published on 06 Jun 2014 - 19:24

score 515 · Answer 5 · 2014-06-08 17:13:27

515

Views

nilpotent linear transformation and its adjoint exercise

Published on 08 Jun 2014 - 17:13

score 242 · Answer 6 · 2014-06-12 16:08:49

242

Views

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

Published on 12 Jun 2014 - 16:08

score 479 · Answer 7 · 2026-03-25 13:56:55

479

Views

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

Published on 25 Mar 2026 - 13:56

score 1k · Answer 8 · 2014-06-14 13:31:59

1k

Views

Linear independent vectors of nilpotent transformation

Published on 14 Jun 2014 - 13:31

score 6.9k · Answer 9 · 2014-06-25 20:56:10

6.9k

Views

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

Published on 25 Jun 2014 - 20:56

score 118 · Answer 10 · 2014-07-01 23:11:19

118

Views

Nilpotent groups and their automorphisms

Published on 01 Jul 2014 - 23:11

score 550 · Answer 11 · 2014-07-09 16:10:08

550

Views

On the nilpotence of the matrix $AB-BA$

Published on 09 Jul 2014 - 16:10

score 12.8k · Answer 12 · 2014-07-10 09:55:37

12.8k

Views

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

Published on 10 Jul 2014 - 9:55

score 184 · Answer 13 · 2014-07-11 06:42:03

184

Views

Prime radical that is nil but not nilpotent

Published on 11 Jul 2014 - 6:42

score 179 · Answer 14 · 2014-07-14 04:00:58

179

Views

How to apply Vandemonde determinant to show nilpotent here?

Published on 14 Jul 2014 - 4:00

score 211 · Answer 15 · 2014-07-20 18:40:34

211

Views

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

Published on 20 Jul 2014 - 18:40

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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