Question

Proof check. Standard form for alternating polynomials

score 131 · Answer 1 · 2026-04-14 00:22:40

131

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Proof check. Standard form for alternating polynomials

Published on 14 Apr 2026 - 0:22

score 81 · Answer 2 · 2026-04-12 21:28:37

81

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Is the polynomial $x^2+x+4$ irreducible over $\mathbb{Z}_5[x]\ $?

Published on 12 Apr 2026 - 21:28

score 38 · Answer 3 · 2026-05-14 06:27:29

38

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Let $r$ and $n$ be integers. Give the Galois correspondance for the extension $F_{p^r} \cap F_{p^n} \leq F_{p^r} \vee F_{p^n}$

Published on 14 May 2026 - 6:27

score 367 · Answer 4 · 2026-04-11 12:01:36

367

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An infinite direct product of simple module over semisimple ring

Published on 11 Apr 2026 - 12:01

score 300 · Answer 5 · 2026-04-15 11:36:18

300

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Construct add/mul tables for the cong classes of the ideal $(x^2+1)$ in the ring $\mathbb{Z}_3[x]$.

Published on 15 Apr 2026 - 11:36

score 122 · Answer 6 · 2026-05-10 14:30:39

122

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Question on Finitely Generated Abelian Groups: $A/H \cong G$

Published on 10 May 2026 - 14:30

score 144 · Answer 7 · 2026-04-15 07:50:11

144

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Prove that for every $x,y\in R$ exist $z\in R$ such that $\langle x,y\rangle=\langle z\rangle$

Published on 15 Apr 2026 - 7:50

score 66 · Answer 8 · 2026-05-15 05:41:18

66

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Irreducibility of $X^p -p$

Published on 15 May 2026 - 5:41

score 53 · Answer 9 · 2026-05-10 15:29:09

53

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How to prove that $Nil_M_n(R) = M_n(Nil_R)$?

Published on 10 May 2026 - 15:29

score 57 · Answer 10 · 2026-04-15 15:12:16

57

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Define ideals $I_k$ as $I_k = 2^kR=(2^k a/b | a, b \in \mathbb{Z}, b\text{ odd})$ for ring $R= (a/b|a,b \in \mathbb{Z}, b \space odd)$ and show:

Published on 15 Apr 2026 - 15:12

score 610 · Answer 11 · 2026-05-10 22:00:47

610

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Is this structure a group?

Published on 10 May 2026 - 22:00

score 275 · Answer 12 · 2026-04-15 16:25:59

275

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Basic but rigorous book for Abstract Algebra and Topology

Published on 15 Apr 2026 - 16:25

score 290 · Answer 13 · 2026-04-17 05:30:07

290

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Question about Noether-Skolem theorem

Published on 17 Apr 2026 - 5:30

score 1.3k · Answer 14 · 2026-04-12 08:21:30

1.3k

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Why does the GCD of two ideals exist?

Published on 12 Apr 2026 - 8:21

score 203 · Answer 15 · 2026-04-16 06:31:13

203

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Let $R$ be a Discrete Valuation Ring with unique maximal ideal $M$. Show that $M^n/M^{n+1}$ is a vector space.

Published on 16 Apr 2026 - 6:31

List Question

Proof check. Standard form for alternating polynomials

Is the polynomial $x^2+x+4$ irreducible over $\mathbb{Z}_5[x]\ $?

Let $r$ and $n$ be integers. Give the Galois correspondance for the extension $F_{p^r} \cap F_{p^n} \leq F_{p^r} \vee F_{p^n}$

An infinite direct product of simple module over semisimple ring

Construct add/mul tables for the cong classes of the ideal $(x^2+1)$ in the ring $\mathbb{Z}_3[x]$.

Question on Finitely Generated Abelian Groups: $A/H \cong G$

Prove that for every $x,y\in R$ exist $z\in R$ such that $\langle x,y\rangle=\langle z\rangle$

Irreducibility of $X^p -p$

How to prove that $Nil_M_n(R) = M_n(Nil_R)$?

Define ideals $I_k$ as $I_k = 2^kR=(2^k a/b | a, b \in \mathbb{Z}, b\text{ odd})$ for ring $R= (a/b|a,b \in \mathbb{Z}, b \space odd)$ and show:

Is this structure a group?

Basic but rigorous book for Abstract Algebra and Topology

Question about Noether-Skolem theorem

Why does the GCD of two ideals exist?

Let $R$ be a Discrete Valuation Ring with unique maximal ideal $M$. Show that $M^n/M^{n+1}$ is a vector space.

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