Question

Finding the quotient and the remainder in $\mathbb{Z}_5[x]$

score 719 · Answer 1 · 2026-03-25 06:03:53

719

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Finding the quotient and the remainder in $\mathbb{Z}_5[x]$

Published on 25 Mar 2026 - 6:03

score 96 · Answer 2 · 2026-04-08 22:26:22

96

Views

ord$(a) = p, f(a) = a, \forall f : G \to G$ automorphism $\implies |G|$ is not square-free

Published on 08 Apr 2026 - 22:26

score 424 · Answer 3 · 2026-04-09 00:28:46

424

Views

Construction of universal derivation

Published on 09 Apr 2026 - 0:28

score 4.2k · Answer 4 · 2026-04-10 05:58:54

4.2k

Views

Is the quotient of a finitely generated module finitely generated?

Published on 10 Apr 2026 - 5:58

score 171 · Answer 5 · 2026-04-08 23:13:06

171

Views

$N\trianglelefteq G$, $A$ a conjugacy class in $G$ such that $A\subseteq N$, prove $A$ is a union of conjugacy classes

Published on 08 Apr 2026 - 23:13

score 1k · Answer 6 · 2026-04-09 00:10:12

1k

Views

Jacobson radical of formal power series over an integral domain

Published on 09 Apr 2026 - 0:10

score 316 · Answer 7 · 2026-04-09 00:05:55

316

Views

Is $K[X]/(X^2)$ local if $K$ is a field?

Published on 09 Apr 2026 - 0:05

score 41 · Answer 8 · 2026-03-25 07:37:54

41

Views

Calculating a value in $\mathbb{Z^3}[x]$

Published on 25 Mar 2026 - 7:37

score 17.2k · Answer 9 · 2026-04-09 01:55:16

17.2k

Views

Is there an "inverted" dot product?

Published on 09 Apr 2026 - 1:55

score 92 · Answer 10 · 2026-03-27 16:07:58

92

Views

subgroup of a group for non abelian cases

Published on 27 Mar 2026 - 16:07

score 578 · Answer 11 · 2026-04-09 17:53:10

578

Views

Identify $\mathbb{Z}[x]/(x^2-3,2x+4)$.

Published on 09 Apr 2026 - 17:53

score 718 · Answer 12 · 2026-04-08 22:25:36

718

Views

Subfield of a finite field with prime characteristic

Published on 08 Apr 2026 - 22:25

score 1.5k · Answer 13 · 2026-04-09 03:30:39

1.5k

Views

Prove that the field $k(x)$ of rational functions over $k$ in the variable $x$ is not a finitely generated $k$-algebra.

Published on 09 Apr 2026 - 3:30

score 417 · Answer 14 · 2026-04-08 22:28:25

417

Views

Are there any analysis textbooks like Charles Pinter's A book of abstract algebra?

Published on 08 Apr 2026 - 22:28

score 54 · Answer 15 · 2026-03-26 12:06:43

54

Views

How many elements are in $V((x^3-1,p))\subset\mathrm{Spec}(\mathbb{Z}[x])$?

Published on 26 Mar 2026 - 12:06

List Question

Finding the quotient and the remainder in $\mathbb{Z}_5[x]$

ord$(a) = p, f(a) = a, \forall f : G \to G$ automorphism $\implies |G|$ is not square-free

Construction of universal derivation

Is the quotient of a finitely generated module finitely generated?

$N\trianglelefteq G$, $A$ a conjugacy class in $G$ such that $A\subseteq N$, prove $A$ is a union of conjugacy classes

Jacobson radical of formal power series over an integral domain

Is $K[X]/(X^2)$ local if $K$ is a field?

Calculating a value in $\mathbb{Z^3}[x]$

Is there an "inverted" dot product?

subgroup of a group for non abelian cases

Identify $\mathbb{Z}[x]/(x^2-3,2x+4)$.

Subfield of a finite field with prime characteristic

Prove that the field $k(x)$ of rational functions over $k$ in the variable $x$ is not a finitely generated $k$-algebra.

Are there any analysis textbooks like Charles Pinter's A book of abstract algebra?

How many elements are in $V((x^3-1,p))\subset\mathrm{Spec}(\mathbb{Z}[x])$?

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