Question

If A+tB is nilpotent for n+1 distinct values of t, then A and B are nilpotent.

score 484 · Answer 1 · 2014-07-25 16:46:49

484

Views

If A+tB is nilpotent for n+1 distinct values of t, then A and B are nilpotent.

Published on 25 Jul 2014 - 16:46

score 325 · Answer 2 · 2014-07-29 20:52:11

325

Views

A certain two-step subgroup of a nilpotent group

Published on 29 Jul 2014 - 20:52

score 351 · Answer 3 · 2014-09-05 00:31:14

351

Views

The kernel of $R \to A \otimes_R B$ is nil

Published on 05 Sep 2014 - 0:31

score 426 · Answer 4 · 2014-10-18 16:34:33

426

Views

Units and nilpotents in quotient ring.

Published on 18 Oct 2014 - 16:34

score 174 · Answer 5 · 2014-11-10 16:11:31

174

Views

On Bounded Index of Nilpotency of $R[x]$ and $M_n(R)$

Published on 10 Nov 2014 - 16:11

score 1.3k · Answer 6 · 2014-11-17 00:43:35

1.3k

Views

Maximum dimension of a nilpotent vector space

Published on 17 Nov 2014 - 0:43

score 79 · Answer 7 · 2026-03-25 17:43:34

79

Views

Nilpotent torsion-free Groups with a fixed Soluble length

Published on 25 Mar 2026 - 17:43

score 102 · Answer 8 · 2014-11-22 17:19:36

102

Views

Linear Algebra - Stationary Sequence

Published on 22 Nov 2014 - 17:19

score 192 · Answer 9 · 2014-12-01 02:50:41

192

Views

All possible Jordan Canonical forms of a nilpotent $3\times 3$ matrix

Published on 01 Dec 2014 - 2:50

score 578 · Answer 10 · 2014-12-07 20:08:36

578

Views

if $X \in \mathfrak{gl}(V)$ is any nilpotent element, then the adjoint action $\operatorname{ad}(X)$ is nilpotent

Published on 07 Dec 2014 - 20:08

score 4.9k · Answer 11 · 2014-12-09 19:09:33

4.9k

Views

Suppose that $a$ and $b$ belong to a commutative ring $R$. If $a$ is a unit of $R$ and $b^{2}=0$ . Show that $a+b$ is a unit of $R$

Published on 09 Dec 2014 - 19:09

score 6.7k · Answer 12 · 2014-12-17 03:35:40

6.7k

Views

How to find the exponential of a nilpotent matrix?

Published on 17 Dec 2014 - 3:35

score 1.1k · Answer 13 · 2014-12-26 09:24:46

1.1k

Views

Nilpotent Matrices properties

Published on 26 Dec 2014 - 9:24

score 97 · Answer 14 · 2019-10-20 19:44:19

97

Views

Strange algebra question - with permutations.

Published on 20 Oct 2019 - 19:44

score 165 · Answer 15 · 2019-10-21 14:02:45

165

Views

If $B^3 = O$ does it mean that $B = O$?

Published on 21 Oct 2019 - 14:02

List Question

If A+tB is nilpotent for n+1 distinct values of t, then A and B are nilpotent.

A certain two-step subgroup of a nilpotent group

The kernel of $R \to A \otimes_R B$ is nil

Units and nilpotents in quotient ring.

On Bounded Index of Nilpotency of $R[x]$ and $M_n(R)$

Maximum dimension of a nilpotent vector space

Nilpotent torsion-free Groups with a fixed Soluble length

Linear Algebra - Stationary Sequence

All possible Jordan Canonical forms of a nilpotent $3\times 3$ matrix

if $X \in \mathfrak{gl}(V)$ is any nilpotent element, then the adjoint action $\operatorname{ad}(X)$ is nilpotent

Suppose that $a$ and $b$ belong to a commutative ring $R$. If $a$ is a unit of $R$ and $b^{2}=0$ . Show that $a+b$ is a unit of $R$

How to find the exponential of a nilpotent matrix?

Nilpotent Matrices properties

Strange algebra question - with permutations.

If $B^3 = O$ does it mean that $B = O$?

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