Question

Unique $R$-linear homomorphism $R\to M$

score 30 · Answer 1 · 2026-04-14 00:33:01

30

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Unique $R$-linear homomorphism $R\to M$

Published on 14 Apr 2026 - 0:33

score 230 · Answer 2 · 2026-04-15 06:49:03

230

Views

Proving the first Weyl Algebra is a domain and $\mathrm{Z}(A_1)=\Bbb C$

Published on 15 Apr 2026 - 6:49

score 52 · Answer 3 · 2026-04-16 16:46:01

52

Views

$I\times J\cong R$ implies $I+J=R, I\cap J=0$?

Published on 16 Apr 2026 - 16:46

score 191 · Answer 4 · 2026-04-16 14:03:44

191

Views

If $I$ and $J$ are two ideals of a Lie algebra L then $(I+J)^{2n}\subset I^{n}+J^{n}$

Published on 16 Apr 2026 - 14:03

score 374 · Answer 5 · 2026-05-06 03:09:25

374

Views

Find Noether normalization of a ring - verify my solution.

Published on 06 May 2026 - 3:09

score 103 · Answer 6 · 2026-05-11 05:26:57

103

Views

Is $\Bbb{Q}[F]$ a field whenever $F$ is a field?

Published on 11 May 2026 - 5:26

score 103 · Answer 7 · 2026-04-13 15:08:09

103

Views

Characterization of ordered groups of principal ideals in a domain

Published on 13 Apr 2026 - 15:08

score 53 · Answer 8 · 2026-03-25 20:36:35

53

Views

Take ring $R = \{(a, b) \in \mathbb{Z} \times \mathbb{Z} | \, a \equiv b\, \mod 5 \}$. Find all ring homomorphism $R \rightarrow \mathbb{C}$

Published on 25 Mar 2026 - 20:36

score 78 · Answer 9 · 2026-03-25 22:06:23

78

Views

Prime ideals of ring $R = \{(a, b) \in \mathbb{Z} \times \mathbb{Z} | \, a \equiv b\, \mod 5 \}$.

Published on 25 Mar 2026 - 22:06

score 145 · Answer 10 · 2026-05-10 15:51:00

145

Views

There is a non artinian semi-primary ring?

Published on 10 May 2026 - 15:51

score 79 · Answer 11 · 2026-04-15 09:47:33

79

Views

Does an ideal $I=(x_1,...,x_n)$ which contains a regular element implie $x_i$ is regular for some $i$?

Published on 15 Apr 2026 - 9:47

score 321 · Answer 12 · 2026-04-12 04:26:32

321

Views

How to quotient $\mathbb Z [\sqrt{-11}] / (1+\sqrt{-11})$?

Published on 12 Apr 2026 - 4:26

score 71 · Answer 13 · 2026-04-16 11:26:43

71

Views

Difference in choosing some generator of principal ideal for solving $x^2+d=y^3$

Published on 16 Apr 2026 - 11:26

score 170 · Answer 14 · 2026-04-26 14:52:25

170

Views

Conceptual question about the strategy used in the following theorem: Every Ideal of $F[x]$ is Principal

Published on 26 Apr 2026 - 14:52

score 68 · Answer 15 · 2026-04-12 14:49:05

68

Views

Modifying the definition of a prime ideal in a commutative ring.

Published on 12 Apr 2026 - 14:49

List Question

Unique $R$-linear homomorphism $R\to M$

Proving the first Weyl Algebra is a domain and $\mathrm{Z}(A_1)=\Bbb C$

$I\times J\cong R$ implies $I+J=R, I\cap J=0$?

If $I$ and $J$ are two ideals of a Lie algebra L then $(I+J)^{2n}\subset I^{n}+J^{n}$

Find Noether normalization of a ring - verify my solution.

Is $\Bbb{Q}[F]$ a field whenever $F$ is a field?

Characterization of ordered groups of principal ideals in a domain

Take ring $R = \{(a, b) \in \mathbb{Z} \times \mathbb{Z} | \, a \equiv b\, \mod 5 \}$. Find all ring homomorphism $R \rightarrow \mathbb{C}$

Prime ideals of ring $R = \{(a, b) \in \mathbb{Z} \times \mathbb{Z} | \, a \equiv b\, \mod 5 \}$.

There is a non artinian semi-primary ring?

Does an ideal $I=(x_1,...,x_n)$ which contains a regular element implie $x_i$ is regular for some $i$?

How to quotient $\mathbb Z [\sqrt{-11}] / (1+\sqrt{-11})$?

Difference in choosing some generator of principal ideal for solving $x^2+d=y^3$

Conceptual question about the strategy used in the following theorem: Every Ideal of $F[x]$ is Principal

Modifying the definition of a prime ideal in a commutative ring.

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