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Factor theorem for multiple variables

score 1.6k · Answer 1 · 2026-03-25 01:24:15

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Factor theorem for multiple variables

Published on 25 Mar 2026 - 1:24

score 138 · Answer 2 · 2026-03-25 09:49:53

138

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Integral closure of $\mathbb Z[i]$ in $\mathbb Q[i]$ the set of elements in $\mathbb Q[i]$ which satisfy a monic polynomial over $\mathbb Z[i]$?

Published on 25 Mar 2026 - 9:49

score 46 · Answer 3 · 2018-02-27 03:03:32

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Show that $A = \{(3x,y)~|~ x,y \in Z\}$ is a maximal ideal of $Z \oplus Z$.

Published on 27 Feb 2018 - 3:03

score 238 · Answer 4 · 2018-02-27 10:21:25

238

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R is a subring of F (field) such that $\forall x \in F$ either $x \in R$ or $x^{-1} \in R$

Published on 27 Feb 2018 - 10:21

score 420 · Answer 5 · 2018-02-27 15:08:27

420

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Invertibility of the product of two elements in a ring

Published on 27 Feb 2018 - 15:08

score 52 · Answer 6 · 2026-03-25 19:06:45

52

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How to interpret the notation $f(x) \equiv g(x) \hspace{2mm} (\text{mod} \hspace{2mm} h(x), \hspace{1mm} n)$?

Published on 25 Mar 2026 - 19:06

score 1.9k · Answer 7 · 2026-03-25 15:43:41

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Ideals of the ring of rational numbers with odd denominators

Published on 25 Mar 2026 - 15:43

score 105 · Answer 8 · 2026-03-25 15:43:42

105

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Given finite subset of $\mathbb C[[X]]$, does there exist a ring automorphism of $\mathbb C[[X]]$, fixing $A$, but not fixing $\mathbb C[X]$ set wise?

Published on 25 Mar 2026 - 15:43

score 82 · Answer 9 · 2026-03-25 01:35:31

82

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Study the Irreducibility of polynomial

Published on 25 Mar 2026 - 1:35

score 245 · Answer 10 · 2018-02-27 18:59:00

245

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What are applications of a group ring such as $\mathbb{Z}[S_3]$

Published on 27 Feb 2018 - 18:59

score 102 · Answer 11 · 2026-03-25 15:42:26

102

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Given finite subset of $\mathbb C[[X]]$, is there a ring automorphism of $\mathbb C[[X]]$, fixing $A$, but not fixing $\mathbb C$ set wise?

Published on 25 Mar 2026 - 15:42

score 1.3k · Answer 12 · 2026-03-25 13:34:24

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If $(a)$ and $(b)$ are principal ideals of $R$, when is $(a)(b) = (ab)$?

Published on 25 Mar 2026 - 13:34

score 42 · Answer 13 · 2018-02-28 01:57:17

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Nilpotent Polynomial

Published on 28 Feb 2018 - 1:57

score 1.1k · Answer 14 · 2026-03-25 01:37:46

1.1k

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Proving that $x^3-9$ is irreducible in $\mathbb{F}_{31}[x]$

Published on 25 Mar 2026 - 1:37

score 1.2k · Answer 15 · 2018-02-28 11:18:50

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Units in groups

Published on 28 Feb 2018 - 11:18

List Question

Factor theorem for multiple variables

Integral closure of $\mathbb Z[i]$ in $\mathbb Q[i]$ the set of elements in $\mathbb Q[i]$ which satisfy a monic polynomial over $\mathbb Z[i]$?

Show that $A = \{(3x,y)~|~ x,y \in Z\}$ is a maximal ideal of $Z \oplus Z$.

R is a subring of F (field) such that $\forall x \in F$ either $x \in R$ or $x^{-1} \in R$

Invertibility of the product of two elements in a ring

How to interpret the notation $f(x) \equiv g(x) \hspace{2mm} (\text{mod} \hspace{2mm} h(x), \hspace{1mm} n)$?

Ideals of the ring of rational numbers with odd denominators

Given finite subset of $\mathbb C[[X]]$, does there exist a ring automorphism of $\mathbb C[[X]]$, fixing $A$, but not fixing $\mathbb C[X]$ set wise?

Study the Irreducibility of polynomial

What are applications of a group ring such as $\mathbb{Z}[S_3]$

Given finite subset of $\mathbb C[[X]]$, is there a ring automorphism of $\mathbb C[[X]]$, fixing $A$, but not fixing $\mathbb C$ set wise?

If $(a)$ and $(b)$ are principal ideals of $R$, when is $(a)(b) = (ab)$?

Nilpotent Polynomial

Proving that $x^3-9$ is irreducible in $\mathbb{F}_{31}[x]$

Units in groups

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