Question

what can be said about $spec(R_m)$, where $R_m$ is localization of $R$ at maximal ideal $m$

score 222 · Answer 1 · 2026-03-29 15:33:25

222

Views

what can be said about $spec(R_m)$, where $R_m$ is localization of $R$ at maximal ideal $m$

Published on 29 Mar 2026 - 15:33

score 92 · Answer 2 · 2026-04-09 18:24:13

92

Views

Determining whether a ring is a principal ideal ring or not

Published on 09 Apr 2026 - 18:24

score 1.7k · Answer 3 · 2026-04-07 06:34:31

1.7k

Views

Showing that $\mathbb{Z}[i]/I$ is a finite field whenever $I$ is a prime ideal, and also finding its cardinality?

Published on 07 Apr 2026 - 6:34

score 252 · Answer 4 · 2026-04-10 17:05:09

252

Views

Some questions about Milne's algebraic geometry notes.

Published on 10 Apr 2026 - 17:05

score 197 · Answer 5 · 2015-02-20 07:43:32

197

Views

Rings with same quotient field

Published on 20 Feb 2015 - 7:43

score 6.4k · Answer 6 · 2026-03-29 20:43:06

6.4k

Views

Why is $(2, 1+\sqrt{-5})$ not principal?

Published on 29 Mar 2026 - 20:43

score 300 · Answer 7 · 2015-02-22 00:49:25

300

Views

Intersection of ideals in the ring of formal power series

Published on 22 Feb 2015 - 0:49

score 136 · Answer 8 · 2026-04-12 01:43:36

136

Views

Image of ideal under the isomorphism given by the Chinese Remainder Theorem.

Published on 12 Apr 2026 - 1:43

score 1.7k · Answer 9 · 2015-02-22 12:07:20

1.7k

Views

A left ideal need not be a right $R$ module

Published on 22 Feb 2015 - 12:07

score 54 · Answer 10 · 2026-03-29 18:33:28

54

Views

Show $(⊕M_α)/I(⊕M_α)\simeq ⊕(M_α/IM_α)$ for ${M_α}$ $R$-modules, and $I$ is an ideal of the commutative ring $R$

Published on 29 Mar 2026 - 18:33

score 439 · Answer 11 · 2026-04-01 08:52:08

439

Views

M an R-module, where M is a commutative ring, if $M≅R/I$ for some ideal I of R, then $M$ is a cyclic R-module

Published on 01 Apr 2026 - 8:52

score 176 · Answer 12 · 2026-03-29 22:07:36

176

Views

If $R=K[X]/(X^n)$, can represent any element as polynomial with degree $<n$

Published on 29 Mar 2026 - 22:07

score 44 · Answer 13 · 2026-04-02 11:33:30

44

Views

Show that $\mathscr{C}_{X,a}\cong\mathscr{C}_{A^n,a}/ I(X)\mathscr{C}_{A^n,a}$.

Published on 02 Apr 2026 - 11:33

score 239 · Answer 14 · 2026-04-11 21:13:21

239

Views

$p$ is a prime in $\mathbb{Z}[i]$ if and only if $-1$ is not a square modulo $p$, direct proof using $\mathbb{Z}[x]$?

Published on 11 Apr 2026 - 21:13

score 324 · Answer 15 · 2026-03-25 23:08:32

324

Views

Help with Atiyah-McDonald proof. $1 + \hat{m} = $ units $\implies A$ is a local ring.

Published on 25 Mar 2026 - 23:08

List Question

what can be said about $spec(R_m)$, where $R_m$ is localization of $R$ at maximal ideal $m$

Determining whether a ring is a principal ideal ring or not

Showing that $\mathbb{Z}[i]/I$ is a finite field whenever $I$ is a prime ideal, and also finding its cardinality?

Some questions about Milne's algebraic geometry notes.

Rings with same quotient field

Why is $(2, 1+\sqrt{-5})$ not principal?

Intersection of ideals in the ring of formal power series

Image of ideal under the isomorphism given by the Chinese Remainder Theorem.

A left ideal need not be a right $R$ module

Show $(⊕M_α)/I(⊕M_α)\simeq ⊕(M_α/IM_α)$ for ${M_α}$ $R$-modules, and $I$ is an ideal of the commutative ring $R$

M an R-module, where M is a commutative ring, if $M≅R/I$ for some ideal I of R, then $M$ is a cyclic R-module

If $R=K[X]/(X^n)$, can represent any element as polynomial with degree $<n$

Show that $\mathscr{C}_{X,a}\cong\mathscr{C}_{A^n,a}/ I(X)\mathscr{C}_{A^n,a}$.

$p$ is a prime in $\mathbb{Z}[i]$ if and only if $-1$ is not a square modulo $p$, direct proof using $\mathbb{Z}[x]$?

Help with Atiyah-McDonald proof. $1 + \hat{m} = $ units $\implies A$ is a local ring.

Trending Questions

Popular # Hahtags

Popular Questions