Question

Decomposition of the polynomial in isomorphic fields

score 67 · Answer 1 · 2026-04-15 15:11:54

67

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Decomposition of the polynomial in isomorphic fields

Published on 15 Apr 2026 - 15:11

score 31 · Answer 2 · 2026-04-16 21:33:58

31

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How to write $x^{p-1}-1$ as $(p-1)x^{p-2}\cdot g(x)+(p-1)\cdot r(x)$

Published on 16 Apr 2026 - 21:33

score 49 · Answer 3 · 2026-04-15 16:52:56

49

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Why is the nontrivial left ideal of $M_ 2(D)$ minimal?

Published on 15 Apr 2026 - 16:52

score 75 · Answer 4 · 2026-04-15 11:59:49

75

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$E/K$ is normal extension. $K'/K$ is any field extension. Then $EK'/K'$ is normal

Published on 15 Apr 2026 - 11:59

score 172 · Answer 5 · 2026-04-14 02:05:23

172

Views

Divided power envelope and polynomial rings

Published on 14 Apr 2026 - 2:05

score 65 · Answer 6 · 2026-05-11 03:14:04

65

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Show this relation on $\mathbb{R}^2\setminus \left \{ (0,0) \right \}$ is an equivalence relation.

Published on 11 May 2026 - 3:14

score 397 · Answer 7 · 2026-05-10 13:51:35

397

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Let $f$ be a nonconstant polynomial in $\mathbb Z[x]$. Prove that $f$ takes on infinitely many values in $\mathbb Z$.

Published on 10 May 2026 - 13:51

score 46 · Answer 8 · 2026-04-13 05:00:17

46

Views

If p is a prime ideal of P then Id( R/P ) = { P , P+1 }

Published on 13 Apr 2026 - 5:00

score 51 · Answer 9 · 2026-04-14 09:03:08

51

Views

Finding a trinomial in $GF(2)[x]$ that is a multiple of a given polynomial

Published on 14 Apr 2026 - 9:03

score 878 · Answer 10 · 2026-05-10 19:48:09

878

Views

Why the Skyscraper Sheaf is Named as Such, Intuition and Interpretation

Published on 10 May 2026 - 19:48

score 718 · Answer 11 · 2026-04-13 09:08:09

718

Views

Why $E\otimes_KE\cong EG$ implies that Galois theory works?

Published on 13 Apr 2026 - 9:08

score 266 · Answer 12 · 2026-05-10 17:33:18

266

Views

Normal subgroups in Permutation groups

Published on 10 May 2026 - 17:33

score 1k · Answer 13 · 2026-05-10 15:47:59

1k

Views

Show that the algebraic subsets of $\mathbb{A}^1(k)$ are just the finite subsets, together with $\mathbb{A}^1(k)$ itself

Published on 10 May 2026 - 15:47

score 76 · Answer 14 · 2026-05-10 16:05:05

76

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Prove that G contains at least |X| − 1 fixed-point-free elements, i.e., elements g such that Fix(g) is empty.

Published on 10 May 2026 - 16:05

score 178 · Answer 15 · 2026-04-14 15:35:40

178

Views

Isomorphic subgroups of $S_n$ and bijection of sets

Published on 14 Apr 2026 - 15:35

List Question

Decomposition of the polynomial in isomorphic fields

How to write $x^{p-1}-1$ as $(p-1)x^{p-2}\cdot g(x)+(p-1)\cdot r(x)$

Why is the nontrivial left ideal of $M_ 2(D)$ minimal?

$E/K$ is normal extension. $K'/K$ is any field extension. Then $EK'/K'$ is normal

Divided power envelope and polynomial rings

Show this relation on $\mathbb{R}^2\setminus \left \{ (0,0) \right \}$ is an equivalence relation.

Let $f$ be a nonconstant polynomial in $\mathbb Z[x]$. Prove that $f$ takes on infinitely many values in $\mathbb Z$.

If p is a prime ideal of P then Id( R/P ) = { P , P+1 }

Finding a trinomial in $GF(2)[x]$ that is a multiple of a given polynomial

Why the Skyscraper Sheaf is Named as Such, Intuition and Interpretation

Why $E\otimes_KE\cong EG$ implies that Galois theory works?

Normal subgroups in Permutation groups

Show that the algebraic subsets of $\mathbb{A}^1(k)$ are just the finite subsets, together with $\mathbb{A}^1(k)$ itself

Prove that G contains at least |X| − 1 fixed-point-free elements, i.e., elements g such that Fix(g) is empty.

Isomorphic subgroups of $S_n$ and bijection of sets

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