List questions from commutative-algebra

Published on 26 Mar 2026 - 6:25

250

Views

Is $\mathbb{Z}[x,y]/(x^3+px+q - y^2)$ integral over $\mathbb{Z}[x]$?

Published on 09 Apr 2026 - 8:26

747

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Divisors on cone variety not passing through cone point are principal

Published on 25 Mar 2026 - 9:38

183

Views

Why do I expect $\operatorname{Spec}(\Bbb Q(i)\otimes_{\mathbb Q} \Bbb Q(i))$ contains 2 points?

Published on 12 Apr 2026 - 13:31

240

Views

Global functions of a projective space

Published on 12 Apr 2026 - 5:02

76

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Use of units in Nakayama's Lemma's proof

Published on 28 Aug 2019 - 12:15

75

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Does a maximal ideal of $\mathbb{Z}[X,Y]$ contain a prime number?

Published on 12 Apr 2026 - 7:46

233

Views

Finite injective ring homomorphism

Published on 12 Apr 2026 - 13:28

211

Views

Symmetric Rank-1 Decomposition for Density Matrices

Published on 27 Mar 2026 - 8:44

138

Views

Question about functionally independence

Published on 10 Apr 2026 - 21:31

40

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Natural extension of basis for a field extension is a basis for tensor product

Published on 01 Apr 2026 - 6:08

29

Views

The quotient of an ideal generated by idempotents of a prime ideal does not contain any idempotents

Published on 12 Apr 2026 - 7:35

311

Views

Class group and localization in number fields

Published on 27 Mar 2026 - 6:42

66

Views

$M_p\cong N_p$ implies $M_q\cong N_q$ for $p\subset q$?

Published on 03 Apr 2026 - 15:10

71

Views

Existence of maximal ideal lying over and residue of element equals root of minimal polynomial

Published on 09 Apr 2026 - 8:27

List Question

How to show that this sequence is exact?

Is $\mathbb{Z}[x,y]/(x^3+px+q - y^2)$ integral over $\mathbb{Z}[x]$?

Divisors on cone variety not passing through cone point are principal

Why do I expect $\operatorname{Spec}(\Bbb Q(i)\otimes_{\mathbb Q} \Bbb Q(i))$ contains 2 points?

Global functions of a projective space

Use of units in Nakayama's Lemma's proof

Does a maximal ideal of $\mathbb{Z}[X,Y]$ contain a prime number?

Finite injective ring homomorphism

Symmetric Rank-1 Decomposition for Density Matrices

Question about functionally independence

Natural extension of basis for a field extension is a basis for tensor product

The quotient of an ideal generated by idempotents of a prime ideal does not contain any idempotents

Class group and localization in number fields

$M_p\cong N_p$ implies $M_q\cong N_q$ for $p\subset q$?

Existence of maximal ideal lying over and residue of element equals root of minimal polynomial

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