Question

Does the ring of polynomial of infinitely many variables $\mathbb{R} [ x_1 , x_2 , \ldots ]$ have one maximal ideal or infinitely many?

score 62 · Answer 1 · 2026-04-16 00:06:58

Does the ring of polynomial of infinitely many variables $\mathbb{R} [ x_1 , x_2 , \ldots ]$ have one maximal ideal or infinitely many?

score 108 · Answer 2 · 2026-04-15 15:56:17

108

Views

Process for checking reducibility of polynomials of degree 2 or lower in $\mathbb{Z}_2$

Published on 15 Apr 2026 - 15:56

score 171 · Answer 3 · 2026-04-14 10:51:33

171

Views

Intuition behind $R$ is a field $\iff$ only ideals are $R$ and $0$

Published on 14 Apr 2026 - 10:51

score 76 · Answer 4 · 2026-03-25 18:59:07

76

Views

Difference in $\operatorname{Spec}(R[X])$ and $\operatorname{Spec}(F[X])$ when $R$ is a ring v/s $F$ is a field?

Published on 25 Mar 2026 - 18:59

score 101 · Answer 5 · 2026-04-13 11:57:26

101

Views

Question about a ring homomorphism

Published on 13 Apr 2026 - 11:57

score 622 · Answer 6 · 2026-04-12 12:53:51

622

Views

Galois group of residue field extension

Published on 12 Apr 2026 - 12:53

score 315 · Answer 7 · 2026-04-14 00:44:09

315

Views

Ramified primes, as defined by Neukirch

Published on 14 Apr 2026 - 0:44

score 47 · Answer 8 · 2026-04-12 20:51:57

47

Views

Domain with vanishing class group is PID

Published on 12 Apr 2026 - 20:51

score 34 · Answer 9 · 2026-05-10 17:01:34

34

Views

Semiring of classes of associates of a ring/rng

Published on 10 May 2026 - 17:01

score 248 · Answer 10 · 2026-04-12 13:11:33

248

Views

What can be said about an ideal contracted to a maximal ideal?

Published on 12 Apr 2026 - 13:11

score 57 · Answer 11 · 2026-04-12 20:42:03

57

Views

Determining if the given ring has only one maximal ideal

Published on 12 Apr 2026 - 20:42

score 57 · Answer 12 · 2026-03-25 19:05:11

57

Views

If $\varphi:R\to S$ be a surjective ring homomorphism then $\varphi(R^) $is not always $S^$

Published on 25 Mar 2026 - 19:05

score 468 · Answer 13 · 2026-05-11 08:32:38

468

Views

Karoubi envelope / idempotent completion of $R-Mod$

Published on 11 May 2026 - 8:32

score 655 · Answer 14 · 2026-04-08 19:21:56

655

Views

Definition of a subfield

Published on 08 Apr 2026 - 19:21

score 57 · Answer 15 · 2026-04-17 02:12:32

57

Views

How can I show this is an isomorphism? $\tau:k[[x]][y]/(f_a,g_a) \rightarrow\prod_{i=1}^ n k[[x,y]]/(f_{p_i},g_{p_i})$

Published on 17 Apr 2026 - 2:12

List Question

Does the ring of polynomial of infinitely many variables $\mathbb{R} [ x_1 , x_2 , \ldots ]$ have one maximal ideal or infinitely many?

Process for checking reducibility of polynomials of degree 2 or lower in $\mathbb{Z}_2$

Intuition behind $R$ is a field $\iff$ only ideals are $R$ and $0$

Difference in $\operatorname{Spec}(R[X])$ and $\operatorname{Spec}(F[X])$ when $R$ is a ring v/s $F$ is a field?

Question about a ring homomorphism

Galois group of residue field extension

Ramified primes, as defined by Neukirch

Domain with vanishing class group is PID

Semiring of classes of associates of a ring/rng

What can be said about an ideal contracted to a maximal ideal?

Determining if the given ring has only one maximal ideal

If $\varphi:R\to S$ be a surjective ring homomorphism then $\varphi(R^) $is not always $S^$

Karoubi envelope / idempotent completion of $R-Mod$

Definition of a subfield

How can I show this is an isomorphism? $\tau:k[[x]][y]/(f_a,g_a) \rightarrow\prod_{i=1}^ n k[[x,y]]/(f_{p_i},g_{p_i})$

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