Question

If $\sqrt{(f)}$=$\sqrt{(g)}$, then $f+\mathrm{Nil}(R)=g+\mathrm{Nil}(R)$? (The converse holds)

score 61 · Answer 1 · 2018-01-06 15:02:38

61

Views

If $\sqrt{(f)}$=$\sqrt{(g)}$, then $f+\mathrm{Nil}(R)=g+\mathrm{Nil}(R)$? (The converse holds)

Published on 06 Jan 2018 - 15:02

score 107 · Answer 2 · 2018-01-10 17:17:34

107

Views

Prove that $(AB-BA)^n=0$

Published on 10 Jan 2018 - 17:17

score 1.7k · Answer 3 · 2018-01-12 15:38:51

1.7k

Views

Find matrix from minimal polynomial?

Published on 12 Jan 2018 - 15:38

score 7.3k · Answer 4 · 2011-09-30 12:29:34

7.3k

Views

$A$ is normal and nilpotent, show $A=0$

Published on 30 Sep 2011 - 12:29

score 10.3k · Answer 5 · 2012-02-12 06:38:09

10.3k

Views

How to show that the nth power of a $n \times n$ nilpotent matrix equals to zero $A^n=0$

Published on 12 Feb 2012 - 6:38

score 324 · Answer 6 · 2012-02-19 03:32:44

324

Views

If $a_M$ is not locally nilpotent, why does there exist $x \in M$ and a prime ideal $\mathfrak{p}$ such that $(Ax)_\mathfrak{p} \neq 0$?

Published on 19 Feb 2012 - 3:32

score 43.8k · Answer 7 · 2026-02-24 06:49:42

43.8k

Views

Prove that $A+I$ is invertible if $A$ is nilpotent

Published on 24 Feb 2026 - 6:49

score 648 · Answer 8 · 2012-05-21 13:37:08

648

Views

Non-commuting matrices and nilpotence

Published on 21 May 2012 - 13:37

score 1.3k · Answer 9 · 2012-06-03 01:20:24

1.3k

Views

Prove that if $A$ is Hermitian and $A^m=I$, then $A^2=I$ (and $A=I$ if $m$ is odd)

Published on 03 Jun 2012 - 1:20

score 237 · Answer 10 · 2012-09-27 06:02:26

237

Views

What are some examples of nilpotent Lie algeras?

Published on 27 Sep 2012 - 6:02

score 1.4k · Answer 11 · 2013-01-15 02:17:39

1.4k

Views

Nilpotent blocks of matrices

Published on 15 Jan 2013 - 2:17

score 334 · Answer 12 · 2013-01-19 18:27:19

334

Views

How to prove that this linear operator is nilpotent?

Published on 19 Jan 2013 - 18:27

score 971 · Answer 13 · 2013-03-04 17:28:42

971

Views

Index of nilpotency Jordan block

Published on 04 Mar 2013 - 17:28

score 32 · Answer 14 · 2020-08-16 20:17:40

32

Views

Show that $ (\mathbf{1}_n-A)^{-1} = \displaystyle \sum_{l=0}^m A^l $ , how to approach that problem?

Published on 16 Aug 2020 - 20:17

score 424 · Answer 15 · 2020-08-31 08:34:23

424

Views

Prove $f$ is a unit in $A[X]\implies a_0$ is a unit in A and $a_1, . . . , a_n$ are nilpotent.

Published on 31 Aug 2020 - 8:34

List Question

If $\sqrt{(f)}$=$\sqrt{(g)}$, then $f+\mathrm{Nil}(R)=g+\mathrm{Nil}(R)$? (The converse holds)

Prove that $(AB-BA)^n=0$

Find matrix from minimal polynomial?

$A$ is normal and nilpotent, show $A=0$

How to show that the nth power of a $n \times n$ nilpotent matrix equals to zero $A^n=0$

If $a_M$ is not locally nilpotent, why does there exist $x \in M$ and a prime ideal $\mathfrak{p}$ such that $(Ax)_\mathfrak{p} \neq 0$?

Prove that $A+I$ is invertible if $A$ is nilpotent

Non-commuting matrices and nilpotence

Prove that if $A$ is Hermitian and $A^m=I$, then $A^2=I$ (and $A=I$ if $m$ is odd)

What are some examples of nilpotent Lie algeras?

Nilpotent blocks of matrices

How to prove that this linear operator is nilpotent?

Index of nilpotency Jordan block

Show that $ (\mathbf{1}_n-A)^{-1} = \displaystyle \sum_{l=0}^m A^l $ , how to approach that problem?

Prove $f$ is a unit in $A[X]\implies a_0$ is a unit in A and $a_1, . . . , a_n$ are nilpotent.

Trending Questions

Popular # Hahtags

Popular Questions