Question

Proper ideal $I \implies \exists $ prime ideals $P_i$ such that $P_1 \cdots P_n \subset I$.

score 996 · Answer 1 · 2026-04-15 21:57:59

996

Views

Proper ideal $I \implies \exists $ prime ideals $P_i$ such that $P_1 \cdots P_n \subset I$.

Published on 15 Apr 2026 - 21:57

score 395 · Answer 2 · 2026-04-11 18:32:38

395

Views

Coprime elements in a PID satisfy that any of their powers are coprime

Published on 11 Apr 2026 - 18:32

score 1.1k · Answer 3 · 2026-04-12 22:53:15

1.1k

Views

The algebraic set $V$ is connected if and only if the coordinate ring $k[V]$ is not the direct sum of two nonzero ideals.

Published on 12 Apr 2026 - 22:53

score 161 · Answer 4 · 2026-04-15 00:01:26

161

Views

Idempotent subideals of $J(R)$

Published on 15 Apr 2026 - 0:01

score 370 · Answer 5 · 2026-03-08 07:34:29

370

Views

Proving that the canonical ring homomorphism in $\mathbb{Z}[i] / \left< 5+3i \right>$ is surjective

Published on 08 Mar 2026 - 7:34

score 130 · Answer 6 · 2026-04-14 09:11:45

130

Views

Idempotent ideal matrices

Published on 14 Apr 2026 - 9:11

score 98 · Answer 7 · 2026-04-09 13:23:22

98

Views

Norm of powers of a maximal ideal

Published on 09 Apr 2026 - 13:23

score 83 · Answer 8 · 2026-04-16 10:25:27

83

Views

Show that $(T^2, T^3)$ is not a principal ideal in $\{ a + T^2 f\mid a \in \mathbb{Q}, f \in \mathbb{Q}[T] \}$.

Published on 16 Apr 2026 - 10:25

score 119 · Answer 9 · 2026-04-10 01:43:00

119

Views

Norm of powers of a maximal ideal (in residually finite rings)

Published on 10 Apr 2026 - 1:43

score 89 · Answer 10 · 2026-04-12 22:02:54

89

Views

A probable equality between two ideals

Published on 12 Apr 2026 - 22:02

score 147 · Answer 11 · 2026-04-09 13:55:38

147

Views

How does $R/(R \cap I)$ sit inside of $S/I$, where $R \subset S$ is an integral extension.

Published on 09 Apr 2026 - 13:55

score 48 · Answer 12 · 2026-04-13 22:37:33

48

Views

Let $I$ be an ideal of ring $R$ contained in another ring $S$: what is $IS$?

Published on 13 Apr 2026 - 22:37

score 246 · Answer 13 · 2026-04-14 10:37:36

246

Views

Idempotent direct summands of rings

Published on 14 Apr 2026 - 10:37

score 86 · Answer 14 · 2026-04-15 19:01:47

86

Views

There is no $n$ such that every ideals of $K[X,Y]$ is generated by $n$ elements

Published on 15 Apr 2026 - 19:01

score 80 · Answer 15 · 2026-04-13 00:02:18

80

Views

Which ideal contains which? Or are they the same?

Published on 13 Apr 2026 - 0:02

List Question

Proper ideal $I \implies \exists $ prime ideals $P_i$ such that $P_1 \cdots P_n \subset I$.

Coprime elements in a PID satisfy that any of their powers are coprime

The algebraic set $V$ is connected if and only if the coordinate ring $k[V]$ is not the direct sum of two nonzero ideals.

Idempotent subideals of $J(R)$

Proving that the canonical ring homomorphism in $\mathbb{Z}[i] / \left< 5+3i \right>$ is surjective

Idempotent ideal matrices

Norm of powers of a maximal ideal

Show that $(T^2, T^3)$ is not a principal ideal in $\{ a + T^2 f\mid a \in \mathbb{Q}, f \in \mathbb{Q}[T] \}$.

Norm of powers of a maximal ideal (in residually finite rings)

A probable equality between two ideals

How does $R/(R \cap I)$ sit inside of $S/I$, where $R \subset S$ is an integral extension.

Let $I$ be an ideal of ring $R$ contained in another ring $S$: what is $IS$?

Idempotent direct summands of rings

There is no $n$ such that every ideals of $K[X,Y]$ is generated by $n$ elements

Which ideal contains which? Or are they the same?

Trending Questions

Popular # Hahtags

Popular Questions