Question

Does $1 \in P$ where $P$ is a prime ideal.

score 39 · Answer 1 · 2026-04-10 19:03:58

39

Views

Does $1 \in P$ where $P$ is a prime ideal.

Published on 10 Apr 2026 - 19:03

score 559 · Answer 2 · 2026-04-14 05:07:40

559

Views

I do not understand how to generate subrings. Can someone break down what a subring is and how to generate it from an element

Published on 14 Apr 2026 - 5:07

score 56 · Answer 3 · 2026-04-15 11:00:50

56

Views

Find factorisation into irreducibles of $2, 3, 7$ in $\mathbb{Z}[\sqrt{2}]$?

Published on 15 Apr 2026 - 11:00

score 232 · Answer 4 · 2026-04-12 02:56:34

232

Views

Find maximal ideal in $\mathbb{Z}[\sqrt{-3}]$?

Published on 12 Apr 2026 - 2:56

score 2k · Answer 5 · 2026-04-11 09:49:37

2k

Views

The $p$-adic integers as an inverse limit of $\mathbb{Z}/p^i\mathbb{Z}$.

Published on 11 Apr 2026 - 9:49

score 69 · Answer 6 · 2026-05-05 11:27:54

69

Views

Extending "the ring of exponents" from $\Bbb{Z}$ to that which contains a solution to $4^x - 3 = 0 \pmod 5$?

Published on 05 May 2026 - 11:27

score 1.5k · Answer 7 · 2026-04-15 15:05:33

1.5k

Views

Irreducible element iff prime norm in Gaussian integers?

Published on 15 Apr 2026 - 15:05

score 248 · Answer 8 · 2026-04-15 06:33:33

248

Views

Prove that every prime ideal is a maximal ideal

Published on 15 Apr 2026 - 6:33

score 116 · Answer 9 · 2026-04-14 10:27:24

116

Views

Showing that this ring's order is a power of $2$

Published on 14 Apr 2026 - 10:27

score 59 · Answer 10 · 2026-04-15 20:32:15

59

Views

Commutative rings and injective homomorphisms

Published on 15 Apr 2026 - 20:32

score 29 · Answer 11 · 2026-03-27 21:19:18

29

Views

What (or what kind of element) is in $S ∩ I_2$?

Published on 27 Mar 2026 - 21:19

score 299 · Answer 12 · 2026-04-17 07:44:21

299

Views

Prove that $Ker (\phi ) = (X^2 - Y^3, Y^2-Z^3)$ where $\phi : k[X,Y,Z] \rightarrow k[T]$ s.t. $X \mapsto t^9, \; Y \mapsto t^6, \; Z \mapsto t^4$.

Published on 17 Apr 2026 - 7:44

score 123 · Answer 13 · 2026-05-11 07:22:34

123

Views

what is Z[x] in the sense of a unique factorization domain

Published on 11 May 2026 - 7:22

score 226 · Answer 14 · 2026-03-25 23:11:03

226

Views

Is $\omega^{n/2}=-1$ in any ring if $\omega$ is a primitive nth-root of unity and $n$ is an even number?

Published on 25 Mar 2026 - 23:11

score 55 · Answer 15 · 2026-04-10 12:04:53

55

Views

Annihalator which is maximal among all other proper annihalators is prime.

Published on 10 Apr 2026 - 12:04

List Question

Does $1 \in P$ where $P$ is a prime ideal.

I do not understand how to generate subrings. Can someone break down what a subring is and how to generate it from an element

Find factorisation into irreducibles of $2, 3, 7$ in $\mathbb{Z}[\sqrt{2}]$?

Find maximal ideal in $\mathbb{Z}[\sqrt{-3}]$?

The $p$-adic integers as an inverse limit of $\mathbb{Z}/p^i\mathbb{Z}$.

Extending "the ring of exponents" from $\Bbb{Z}$ to that which contains a solution to $4^x - 3 = 0 \pmod 5$?

Irreducible element iff prime norm in Gaussian integers?

Prove that every prime ideal is a maximal ideal

Showing that this ring's order is a power of $2$

Commutative rings and injective homomorphisms

What (or what kind of element) is in $S ∩ I_2$?

Prove that $Ker (\phi ) = (X^2 - Y^3, Y^2-Z^3)$ where $\phi : k[X,Y,Z] \rightarrow k[T]$ s.t. $X \mapsto t^9, \; Y \mapsto t^6, \; Z \mapsto t^4$.

what is Z[x] in the sense of a unique factorization domain

Is $\omega^{n/2}=-1$ in any ring if $\omega$ is a primitive nth-root of unity and $n$ is an even number?

Annihalator which is maximal among all other proper annihalators is prime.

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