Question

Prove that $\left( I_1I_2 \right)^e=I_1^e I_2^e$

score 45 · Answer 1 · 2026-03-31 11:23:51

45

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Prove that $\left( I_1I_2 \right)^e=I_1^e I_2^e$

Published on 31 Mar 2026 - 11:23

score 76 · Answer 2 · 2026-03-25 16:36:53

76

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Prove that there are infinitely many choices of an embedded $P_i$-primary ideal in a minimal primary decomposition.

Published on 25 Mar 2026 - 16:36

score 325 · Answer 3 · 2019-06-14 19:31:25

325

Views

Equidimensional affine ring

Published on 14 Jun 2019 - 19:31

score 89 · Answer 4 · 2026-04-09 06:22:05

89

Views

Infinite modular lattices

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score 430 · Answer 5 · 2026-04-08 21:28:32

430

Views

Integrally closed domain preserved under prime quotient. Where is my mistake?

Published on 08 Apr 2026 - 21:28

score 912 · Answer 6 · 2026-03-25 06:03:52

912

Views

If $E$ is a finitely generated projective module over a local ring $A$, then $E$ is free: Theorem X.4.4 in Lang's Algebra

Published on 25 Mar 2026 - 6:03

score 108 · Answer 7 · 2026-04-01 14:30:32

108

Views

Bass' formula (homological algebra)

Published on 01 Apr 2026 - 14:30

score 114 · Answer 8 · 2026-03-27 04:38:11

114

Views

Localization in the Harsthorne definition of the spectrum of a ring

Published on 27 Mar 2026 - 4:38

score 63 · Answer 9 · 2019-06-17 01:46:30

63

Views

Is there always an $R$-algebra with nontrivial Picard group?

Published on 17 Jun 2019 - 1:46

score 155 · Answer 10 · 2019-06-17 06:55:29

155

Views

Proof critique - Atiyah and MacDonald's Commutative algebra - Q 1.7

Published on 17 Jun 2019 - 6:55

score 284 · Answer 11 · 2026-04-02 23:16:57

284

Views

Finite rank implies finitely generated?

Published on 02 Apr 2026 - 23:16

score 39 · Answer 12 · 2026-03-25 20:19:46

39

Views

$\operatorname{Jac}(R,a)=\lambda R^m b$ implies that $b \in k$? $a,b,R \in k[x,y]$

Published on 25 Mar 2026 - 20:19

score 54 · Answer 13 · 2019-06-19 00:26:42

54

Views

On modules which elements are annihilated by a power of the maximal

Published on 19 Jun 2019 - 0:26

score 607 · Answer 14 · 2026-03-25 10:56:05

607

Views

How to prove that $k[x,x^{-1},y]$ is a UFD

Published on 25 Mar 2026 - 10:56

score 209 · Answer 15 · 2019-06-19 16:18:09

209

Views

Group invariants of tensor product of modules when one module is projective and one action is trivial

Published on 19 Jun 2019 - 16:18

List Question

Prove that $\left( I_1I_2 \right)^e=I_1^e I_2^e$

Prove that there are infinitely many choices of an embedded $P_i$-primary ideal in a minimal primary decomposition.

Equidimensional affine ring

Infinite modular lattices

Integrally closed domain preserved under prime quotient. Where is my mistake?

If $E$ is a finitely generated projective module over a local ring $A$, then $E$ is free: Theorem X.4.4 in Lang's Algebra

Bass' formula (homological algebra)

Localization in the Harsthorne definition of the spectrum of a ring

Is there always an $R$-algebra with nontrivial Picard group?

Proof critique - Atiyah and MacDonald's Commutative algebra - Q 1.7

Finite rank implies finitely generated?

$\operatorname{Jac}(R,a)=\lambda R^m b$ implies that $b \in k$? $a,b,R \in k[x,y]$

On modules which elements are annihilated by a power of the maximal

How to prove that $k[x,x^{-1},y]$ is a UFD

Group invariants of tensor product of modules when one module is projective and one action is trivial

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