Question

If the radical of an ideal is prime, must it be a prime power?

score 194 · Answer 1 · 2019-04-02 23:58:43

194

Views

If the radical of an ideal is prime, must it be a prime power?

Published on 02 Apr 2019 - 23:58

score 110 · Answer 2 · 2019-04-03 12:49:35

110

Views

Invertible elements in $A \otimes B$

Published on 03 Apr 2019 - 12:49

score 142 · Answer 3 · 2026-03-25 14:27:24

142

Views

Fraction field of $A[[t]]$

Published on 25 Mar 2026 - 14:27

score 78 · Answer 4 · 2026-03-26 07:17:25

78

Views

On two kinds of powers of Ideals related to Symbolic powers

Published on 26 Mar 2026 - 7:17

score 49 · Answer 5 · 2019-04-03 15:21:06

49

Views

If $V=V_1 \cup V_2$ is a connected reducible algebraic set, then we have a strict inclusion of coordinate rings.

Published on 03 Apr 2019 - 15:21

score 179 · Answer 6 · 2026-04-07 00:24:24

179

Views

If $i:R \rightarrow S$ is an injective, non-surjective ring homomorphism, then $R \simeq S$?

Published on 07 Apr 2026 - 0:24

score 291 · Answer 7 · 2026-04-06 12:36:44

291

Views

Understanding valutation and residue field

Published on 06 Apr 2026 - 12:36

score 514 · Answer 8 · 2026-03-25 13:54:13

514

Views

Noetherian ring has an associated prime ideal

Published on 25 Mar 2026 - 13:54

score 205 · Answer 9 · 2019-04-04 00:59:40

205

Views

Invertible ideals are maximal ideals?

Published on 04 Apr 2019 - 0:59

score 92 · Answer 10 · 2019-04-04 02:07:01

92

Views

Calculate $\mathcal{I}(V)$ where $V=\{(x,y,z) \in k^3 : y=x^2, z=xy\}$.

Published on 04 Apr 2019 - 2:07

score 169 · Answer 11 · 2019-04-04 13:32:22

169

Views

Dimension of space spanned partial derivatives

Published on 04 Apr 2019 - 13:32

score 25 · Answer 12 · 2019-04-04 16:45:47

25

Views

Direct Limit of $A_{f_i}$'s for $\langle f_1, ..., f_n \rangle = 1$ in $A$.

Published on 04 Apr 2019 - 16:45

score 139 · Answer 13 · 2026-04-02 02:07:43

139

Views

Is $\mathbb{Q}[x,y]$ integral over $\mathbb{Q}[f,g]$?

Published on 02 Apr 2026 - 2:07

score 189 · Answer 14 · 2026-04-07 01:53:01

189

Views

Integral closure of $\mathbb{C}[x^5, y^5, x^4y]$ in its ring of fractions.

Published on 07 Apr 2026 - 1:53

score 97 · Answer 15 · 2019-04-04 18:24:43

97

Views

Proper inclusion of ideals localizes to a proper inclusion at one of the generators of the ring.

Published on 04 Apr 2019 - 18:24

List Question

If the radical of an ideal is prime, must it be a prime power?

Invertible elements in $A \otimes B$

Fraction field of $A[[t]]$

On two kinds of powers of Ideals related to Symbolic powers

If $V=V_1 \cup V_2$ is a connected reducible algebraic set, then we have a strict inclusion of coordinate rings.

If $i:R \rightarrow S$ is an injective, non-surjective ring homomorphism, then $R \simeq S$?

Understanding valutation and residue field

Noetherian ring has an associated prime ideal

Invertible ideals are maximal ideals?

Calculate $\mathcal{I}(V)$ where $V=\{(x,y,z) \in k^3 : y=x^2, z=xy\}$.

Dimension of space spanned partial derivatives

Direct Limit of $A_{f_i}$'s for $\langle f_1, ..., f_n \rangle = 1$ in $A$.

Is $\mathbb{Q}[x,y]$ integral over $\mathbb{Q}[f,g]$?

Integral closure of $\mathbb{C}[x^5, y^5, x^4y]$ in its ring of fractions.

Proper inclusion of ideals localizes to a proper inclusion at one of the generators of the ring.

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