Question

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

score 43 · Answer 1 · 2026-03-25 04:43:00

43

Views

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

Published on 25 Mar 2026 - 4:43

score 116 · Answer 2 · 2018-03-07 21:06:21

116

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 07 Mar 2018 - 21:06

score 101 · Answer 3 · 2018-03-09 12:38:48

101

Views

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

Published on 09 Mar 2018 - 12:38

score 1.1k · Answer 4 · 2018-03-10 22:05:58

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 10 Mar 2018 - 22:05

score 765 · Answer 5 · 2018-03-11 09:02:30

765

Views

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

Published on 11 Mar 2018 - 9:02

score 35 · Answer 6 · 2018-03-11 10:16:00

35

Views

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

Published on 11 Mar 2018 - 10:16

score 104 · Answer 7 · 2026-03-25 10:39:54

104

Views

Noether polynomial ring over $2\Bbb Z$

Published on 25 Mar 2026 - 10:39

score 36 · Answer 8 · 2026-03-25 10:57:09

36

Views

Describe primary radicals of $R[x]$

Published on 25 Mar 2026 - 10:57

score 275 · Answer 9 · 2026-03-22 20:52:27

275

Views

What happens when localising with a non-prime ideal

Published on 22 Mar 2026 - 20:52

score 40 · Answer 10 · 2026-03-25 07:43:27

40

Views

quotient norms in a Banach algebra

Published on 25 Mar 2026 - 7:43

score 2.5k · Answer 11 · 2026-03-21 23:45:57

2.5k

Views

Definition of height of an ideal

Published on 21 Mar 2026 - 23:45

score 26 · Answer 12 · 2018-03-17 00:25:23

26

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 Mar 2018 - 0:25

score 223 · Answer 13 · 2026-03-25 03:01:44

223

Views

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

Published on 25 Mar 2026 - 3:01

score 19 · Answer 14 · 2018-03-18 02:21:36

19

Views

What is the ideal of the given ring?

Published on 18 Mar 2018 - 2:21

score 65 · Answer 15 · 2018-03-18 02:42:59

65

Views

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

Published on 18 Mar 2018 - 2:42

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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