Question

Every ideal $J \supsetneq \sqrt{0}$ contains a non-zero-divisor

score 97 · Answer 1 · 2021-02-01 23:35:14

97

Views

Every ideal $J \supsetneq \sqrt{0}$ contains a non-zero-divisor

Published on 01 Feb 2021 - 23:35

score 184 · Answer 2 · 2021-02-14 13:30:09

184

Views

Given a rank-$1$ matrix $A$, what condition makes $A$ nilpotent?

Published on 14 Feb 2021 - 13:30

score 75 · Answer 3 · 2026-03-27 21:19:07

75

Views

All idempotents are central then $KG$ has no nilpotent

Published on 27 Mar 2026 - 21:19

score 358 · Answer 4 · 2021-03-07 15:52:38

358

Views

Proving that the matrix representation of a nilpotent linear operator is upper-triangular with diagonal entries $ = 0$

Published on 07 Mar 2021 - 15:52

score 91 · Answer 5 · 2021-03-08 17:44:28

91

Views

$a_0 + a_1T + \cdots + a_k T^k$ is nilpotent if and only if $a_0 = 0$, where $T$ is nilpotent

Published on 08 Mar 2021 - 17:44

score 59 · Answer 6 · 2026-03-25 07:40:38

59

Views

Power associative basis implies not nilpotent?

Published on 25 Mar 2026 - 7:40

score 103 · Answer 7 · 2021-03-16 12:03:36

103

Views

Is there any property of the set of nilpotent matrices?

Published on 16 Mar 2021 - 12:03

score 138 · Answer 8 · 2021-03-17 07:21:04

138

Views

possible dimensions of a nilpotent endomorphism of a K-Vectorspace

Published on 17 Mar 2021 - 7:21

score 491 · Answer 9 · 2026-03-26 22:14:57

491

Views

Prove that there exists a unitary matrix $U$ such that $U^H A U = B$

Published on 26 Mar 2026 - 22:14

score 129 · Answer 10 · 2021-03-28 07:54:27

129

Views

Show $φ^n= 0$ for $φ:V→V$ a linear endomorphism such that $\mathrm{tr}(\wedge^qφ) = 0$ and $\dim(V) = n$ a vector space.

Published on 28 Mar 2021 - 7:54

score 81 · Answer 11 · 2021-03-29 13:12:07

81

Views

If $A^3 = O$, what condition do the entries of $A$ satisfy?

Published on 29 Mar 2021 - 13:12

score 428 · Answer 12 · 2021-04-18 20:59:45

428

Views

If $N$ is nilpotent, then $N \sim N^2 \Longleftrightarrow N=0$

Published on 18 Apr 2021 - 20:59

score 138 · Answer 13 · 2026-03-25 07:43:40

138

Views

Nilpotent orbits from either Dynkin diagram or Levi subalgebras

Published on 25 Mar 2026 - 7:43

score 187 · Answer 14 · 2021-04-21 23:09:09

187

Views

$tr(A)=tr(A^2)=tr(A^3) \implies A$ is Nilpotent

Published on 21 Apr 2021 - 23:09

score 500 · Answer 15 · 2026-03-26 01:27:28

500

Views

Why Nilpotent Matrix is not Null matrix always?

Published on 26 Mar 2026 - 1:27

List Question

Every ideal $J \supsetneq \sqrt{0}$ contains a non-zero-divisor

Given a rank-$1$ matrix $A$, what condition makes $A$ nilpotent?

All idempotents are central then $KG$ has no nilpotent

Proving that the matrix representation of a nilpotent linear operator is upper-triangular with diagonal entries $ = 0$

$a_0 + a_1T + \cdots + a_k T^k$ is nilpotent if and only if $a_0 = 0$, where $T$ is nilpotent

Power associative basis implies not nilpotent?

Is there any property of the set of nilpotent matrices?

possible dimensions of a nilpotent endomorphism of a K-Vectorspace

Prove that there exists a unitary matrix $U$ such that $U^H A U = B$

Show $φ^n= 0$ for $φ:V→V$ a linear endomorphism such that $\mathrm{tr}(\wedge^qφ) = 0$ and $\dim(V) = n$ a vector space.

If $A^3 = O$, what condition do the entries of $A$ satisfy?

If $N$ is nilpotent, then $N \sim N^2 \Longleftrightarrow N=0$

Nilpotent orbits from either Dynkin diagram or Levi subalgebras

$tr(A)=tr(A^2)=tr(A^3) \implies A$ is Nilpotent

Why Nilpotent Matrix is not Null matrix always?

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