Question

Is $I:=\{a\in \text{End}_D(V):\text{dim}_D(aV)<\infty\}$ the only proper ideal of $\text{End}_D(V)$?

score 49 · Answer 1 · 2026-04-03 15:12:14

49

Views

Is $I:=\{a\in \text{End}_D(V):\text{dim}_D(aV)<\infty\}$ the only proper ideal of $\text{End}_D(V)$?

Published on 03 Apr 2026 - 15:12

score 450 · Answer 2 · 2026-03-25 16:13:38

450

Views

The sum of a vertible element and a nilpotent element is vertible

Published on 25 Mar 2026 - 16:13

score 79 · Answer 3 · 2026-04-12 05:44:36

79

Views

GCD of {0} in integral domains

Published on 12 Apr 2026 - 5:44

score 210 · Answer 4 · 2026-04-09 09:47:41

210

Views

Example of two subrings with unity of a ring with unity whose intersection is non trivial and has no unity.

Published on 09 Apr 2026 - 9:47

score 73 · Answer 5 · 2019-08-27 02:33:34

73

Views

How to check $\mathrm{Spec}(R[T_0,\dots, T_n,1/T_i])\to \mathrm{Spec}(R[T_0/T_i,\dots, T_n/T_i])$ is epimorphism?

Published on 27 Aug 2019 - 2:33

score 38 · Answer 6 · 2026-04-02 01:56:03

38

Views

$R$ is artinian algebra, $M$ is $R$-mod with $pd_R(M)=1$. Then projective cover $P\to M\to 0$ kernel contained in projective submodule?

Published on 02 Apr 2026 - 1:56

score 182 · Answer 7 · 2019-08-27 19:45:59

182

Views

Why do I expect $\operatorname{Spec}(\Bbb Q(i)\otimes_{\mathbb Q} \Bbb Q(i))$ contains 2 points?

Published on 27 Aug 2019 - 19:45

score 61 · Answer 8 · 2026-04-12 03:29:23

61

Views

Is this an equivalent way to define the $k$-th exterior power of an $R$-module?

Published on 12 Apr 2026 - 3:29

score 58 · Answer 9 · 2026-04-12 06:20:10

58

Views

homomorphism from decomposition group to Galois group

Published on 12 Apr 2026 - 6:20

score 60 · Answer 10 · 2026-04-12 03:29:04

60

Views

Ringoid over symmetric group?

Published on 12 Apr 2026 - 3:29

score 234 · Answer 11 · 2026-03-25 17:39:45

234

Views

Minimal $k$ so that the sum of two nilpotent elements in a commutative ring is 0

Published on 25 Mar 2026 - 17:39

score 192 · Answer 12 · 2026-04-09 19:21:13

192

Views

GCD of polynomials over a field and its extension

Published on 09 Apr 2026 - 19:21

score 173 · Answer 13 · 2019-08-28 10:49:41

173

Views

yes/no : Is $\mathbb{Z}[x,y]/((x+1, y+1) \cong \mathbb{Z}$?

Published on 28 Aug 2019 - 10:49

score 173 · Answer 14 · 2026-03-31 23:49:39

173

Views

Left ideal in a ring $R$ is a subgroup

Published on 31 Mar 2026 - 23:49

score 232 · Answer 15 · 2019-08-28 13:28:42

232

Views

Finite injective ring homomorphism

Published on 28 Aug 2019 - 13:28

List Question

Is $I:=\{a\in \text{End}_D(V):\text{dim}_D(aV)<\infty\}$ the only proper ideal of $\text{End}_D(V)$?

The sum of a vertible element and a nilpotent element is vertible

GCD of {0} in integral domains

Example of two subrings with unity of a ring with unity whose intersection is non trivial and has no unity.

How to check $\mathrm{Spec}(R[T_0,\dots, T_n,1/T_i])\to \mathrm{Spec}(R[T_0/T_i,\dots, T_n/T_i])$ is epimorphism?

$R$ is artinian algebra, $M$ is $R$-mod with $pd_R(M)=1$. Then projective cover $P\to M\to 0$ kernel contained in projective submodule?

Why do I expect $\operatorname{Spec}(\Bbb Q(i)\otimes_{\mathbb Q} \Bbb Q(i))$ contains 2 points?

Is this an equivalent way to define the $k$-th exterior power of an $R$-module?

homomorphism from decomposition group to Galois group

Ringoid over symmetric group?

Minimal $k$ so that the sum of two nilpotent elements in a commutative ring is 0

GCD of polynomials over a field and its extension

yes/no : Is $\mathbb{Z}[x,y]/((x+1, y+1) \cong \mathbb{Z}$?

Left ideal in a ring $R$ is a subgroup

Finite injective ring homomorphism

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