Question

Why is it that $\exists f_1,f_2\in M[f_1, f_2$ have no common factor]?

score 46 · Answer 1 · 2026-05-10 15:02:40

46

Views

Why is it that $\exists f_1,f_2\in M[f_1, f_2$ have no common factor]?

Published on 10 May 2026 - 15:02

score 119 · Answer 2 · 2026-04-17 15:46:44

119

Views

Let $S \subset R$ be a subring. If $S \subset A_1 \cup...\cup A_n, A_i$ ideals and $n-2$ of which are prime, then $S$ belongs to one of $A_j$

Published on 17 Apr 2026 - 15:46

score 104 · Answer 3 · 2026-04-14 05:27:55

104

Views

Is my interpretation of the 'polynomial quotient ring' $\mathbb{Z}_p [x] / f(x)$ correct?

Published on 14 Apr 2026 - 5:27

score 1.1k · Answer 4 · 2026-04-14 20:33:02

1.1k

Views

Let $M$ be an $R$-module. Then $M$ is cyclic $R$-module iff there is a left ideal $A$ in $R$ st. $M$ isomorphic to $R/A$

Published on 14 Apr 2026 - 20:33

score 769 · Answer 5 · 2026-05-10 13:51:19

769

Views

What are the prime and maximal ideals of the power set of $\Bbb N$, i.e. $\mathcal P(\Bbb N)$

Published on 10 May 2026 - 13:51

score 38 · Answer 6 · 2026-04-13 22:35:37

38

Views

Comparing Two Rings $k[T]/(T^n)$ and $\mathbb{Z}/(p^n)$.

Published on 13 Apr 2026 - 22:35

score 109 · Answer 7 · 2026-05-10 13:47:10

109

Views

Noether polynomial ring over $2\Bbb Z$

Published on 10 May 2026 - 13:47

score 38 · Answer 8 · 2026-04-15 16:50:37

38

Views

Describe primary radicals of $R[x]$

Published on 15 Apr 2026 - 16:50

score 279 · Answer 9 · 2026-05-10 14:25:42

279

Views

What happens when localising with a non-prime ideal

Published on 10 May 2026 - 14:25

score 44 · Answer 10 · 2026-05-10 12:33:54

44

Views

quotient norms in a Banach algebra

Published on 10 May 2026 - 12:33

score 2.5k · Answer 11 · 2026-05-10 13:50:22

2.5k

Views

Definition of height of an ideal

Published on 10 May 2026 - 13:50

score 28 · Answer 12 · 2026-04-17 13:54:38

28

Views

Show that $End_R(R_R/N)\simeq S/N$. Where $N$ is an right ideal of $R$ and $S:=\{a\in R: aN\subset N\}$.

Published on 17 Apr 2026 - 13:54

score 226 · Answer 13 · 2026-04-11 01:00:35

226

Views

Prime ideals in $\mathbb Z[\zeta_{18}]$?

Published on 11 Apr 2026 - 1:00

score 23 · Answer 14 · 2026-04-11 17:39:25

23

Views

What is the ideal of the given ring?

Published on 11 Apr 2026 - 17:39

score 70 · Answer 15 · 2026-04-16 21:29:58

70

Views

Which of these principle ideals is maximal in $\mathbb{Z}[x]$?

Published on 16 Apr 2026 - 21:29

List Question

Why is it that $\exists f_1,f_2\in M[f_1, f_2$ have no common factor]?

Let $S \subset R$ be a subring. If $S \subset A_1 \cup...\cup A_n, A_i$ ideals and $n-2$ of which are prime, then $S$ belongs to one of $A_j$

Is my interpretation of the 'polynomial quotient ring' $\mathbb{Z}_p [x] / f(x)$ correct?

Let $M$ be an $R$-module. Then $M$ is cyclic $R$-module iff there is a left ideal $A$ in $R$ st. $M$ isomorphic to $R/A$

What are the prime and maximal ideals of the power set of $\Bbb N$, i.e. $\mathcal P(\Bbb N)$

Comparing Two Rings $k[T]/(T^n)$ and $\mathbb{Z}/(p^n)$.

Noether polynomial ring over $2\Bbb Z$

Describe primary radicals of $R[x]$

What happens when localising with a non-prime ideal

quotient norms in a Banach algebra

Definition of height of an ideal

Show that $End_R(R_R/N)\simeq S/N$. Where $N$ is an right ideal of $R$ and $S:=\{a\in R: aN\subset N\}$.

Prime ideals in $\mathbb Z[\zeta_{18}]$?

What is the ideal of the given ring?

Which of these principle ideals is maximal in $\mathbb{Z}[x]$?

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