Question

What is the minimal number of generators of the ideal $(6x, 10x^2, 15x^3)$ in $\Bbb Z[x]$?

score 1.8k · Answer 1 · 2016-08-15 19:05:55

1.8k

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What is the minimal number of generators of the ideal $(6x, 10x^2, 15x^3)$ in $\Bbb Z[x]$?

Published on 15 Aug 2016 - 19:05

score 51 · Answer 2 · 2016-08-15 20:56:58

51

Views

a question of element commutative algebra

Published on 15 Aug 2016 - 20:56

score 871 · Answer 3 · 2016-08-16 03:38:53

871

Views

Quotient rings and product of ideals question.

Published on 16 Aug 2016 - 3:38

score 79 · Answer 4 · 2016-08-16 07:35:32

79

Views

Show that $\mathscr{m}_{p}$ is the only maximal ideal of $\mathscr{O}_{p}$

Published on 16 Aug 2016 - 7:35

score 193 · Answer 5 · 2016-08-16 10:32:58

193

Views

Finding an isomorphism between $\mathbf Z[\sqrt{-5}]\big/(3,1-\sqrt{-5})$ and $\mathbf Z\big/3$

Published on 16 Aug 2016 - 10:32

score 203 · Answer 6 · 2026-03-26 12:38:02

203

Views

Rings with given "dimension" (in a specific sense, related to generators of ideals)

Published on 26 Mar 2026 - 12:38

score 135 · Answer 7 · 2016-08-16 15:07:43

135

Views

Quotient by an ideal versus quotient by extension of the ideal

Published on 16 Aug 2016 - 15:07

score 70 · Answer 8 · 2016-08-16 21:17:48

70

Views

Let $M_{0}:=\{f \in C[0,1] \mid f(0)=0 \}$. Show that $M_0$ is not a finitely generated ideal of $C[0,1]$.

Published on 16 Aug 2016 - 21:17

score 96 · Answer 9 · 2016-08-17 07:37:23

96

Views

Subrings between $\mathbb{Q}$ and $\mathbb{Q}[\sqrt{2}]$.

Published on 17 Aug 2016 - 7:37

score 118 · Answer 10 · 2016-08-17 08:12:15

118

Views

Ideals of Nagata Trivialization

Published on 17 Aug 2016 - 8:12

score 43 · Answer 11 · 2026-04-01 14:45:20

43

Views

Isotone families of filters, are they filters themselves?

Published on 01 Apr 2026 - 14:45

score 186 · Answer 12 · 2016-08-18 04:51:18

186

Views

how to prove that $I \cong \mathrm{Hom}_R(I,R)$

Published on 18 Aug 2016 - 4:51

score 474 · Answer 13 · 2016-08-18 15:50:58

474

Views

$R ≅ R/I$ prove that for any two-sided ideals $A$ and $B$ we have $A⊆B $ or $B⊆A$

Published on 18 Aug 2016 - 15:50

score 90 · Answer 14 · 2016-08-20 06:40:56

90

Views

Let $R$ be a field and $I$ be the set of non units in $R[[x]]$. Prove $I$ is an ideal.

Published on 20 Aug 2016 - 6:40

score 1k · Answer 15 · 2016-08-21 01:35:07

1k

Views

The smallest ideal containing $S$

Published on 21 Aug 2016 - 1:35

List Question

What is the minimal number of generators of the ideal $(6x, 10x^2, 15x^3)$ in $\Bbb Z[x]$?

a question of element commutative algebra

Quotient rings and product of ideals question.

Show that $\mathscr{m}_{p}$ is the only maximal ideal of $\mathscr{O}_{p}$

Finding an isomorphism between $\mathbf Z[\sqrt{-5}]\big/(3,1-\sqrt{-5})$ and $\mathbf Z\big/3$

Rings with given "dimension" (in a specific sense, related to generators of ideals)

Quotient by an ideal versus quotient by extension of the ideal

Let $M_{0}:=\{f \in C[0,1] \mid f(0)=0 \}$. Show that $M_0$ is not a finitely generated ideal of $C[0,1]$.

Subrings between $\mathbb{Q}$ and $\mathbb{Q}[\sqrt{2}]$.

Ideals of Nagata Trivialization

Isotone families of filters, are they filters themselves?

how to prove that $I \cong \mathrm{Hom}_R(I,R)$

$R ≅ R/I$ prove that for any two-sided ideals $A$ and $B$ we have $A⊆B $ or $B⊆A$

Let $R$ be a field and $I$ be the set of non units in $R[[x]]$. Prove $I$ is an ideal.

The smallest ideal containing $S$

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