List questions from commutative-algebra

Published on 10 Apr 2026 - 17:36

125

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Relation between $\operatorname{Coker}(f)$ and $\operatorname{Coker}(f \otimes 1_P)$

Published on 15 Apr 2026 - 7:13

388

Views

Isomorphism from $B[y]/IB[y]$ onto $(B/I)[y]$

Published on 20 Apr 2026 - 12:59

2.2k

Views

Quotient $M/M^2$ is finite dimensional over $R/M$ in local Noetherian ring?

Published on 16 Apr 2026 - 15:21

515

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Characterization of Discrete Valuation Rings

Published on 11 Apr 2026 - 1:40

101

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A question related to associated prime ideals

Published on 17 Apr 2026 - 21:17

80

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Integral dependence and field extension

Published on 22 Apr 2026 - 21:15

226

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A question about the proof of Hilbert's Basis Theorem

Published on 11 Apr 2026 - 10:42

1.1k

Views

Transcendence degree of fraction field

Published on 10 Apr 2026 - 5:52

464

Views

Counterexamples for lcm-gcd identity and modular law for rings

Published on 10 Apr 2026 - 16:54

405

Views

Prove the ideal $(f)$ is not maximal

Published on 13 Apr 2026 - 6:28

2.1k

Views

Proving that tensoring a projective module with a flat module gives a projective module?

Published on 16 Apr 2026 - 2:54

143

Views

Noether normalisation $A=\mathbb{C}[x,y]/(f)$ where $f=(x-a)y^2-(x-b)$ find a transcendence element

Published on 16 Apr 2026 - 12:45

83

Views

In $\Bbb Z[x,y]$ is $(x^2+1,y^2+1,-xy+1)$ prime?

Published on 16 Apr 2026 - 3:36

96

Views

Find the height of prime ideal $p=(x_n-x_1^n,\ldots ,x_2-x_1^n)$ in $\mathbb{C}[x_1,\ldots,x_n]$

Published on 17 Apr 2026 - 7:56

List Question

What kind of algebraic structure is this

Relation between $\operatorname{Coker}(f)$ and $\operatorname{Coker}(f \otimes 1_P)$

Isomorphism from $B[y]/IB[y]$ onto $(B/I)[y]$

Quotient $M/M^2$ is finite dimensional over $R/M$ in local Noetherian ring?

Characterization of Discrete Valuation Rings

A question related to associated prime ideals

Integral dependence and field extension

A question about the proof of Hilbert's Basis Theorem

Transcendence degree of fraction field

Counterexamples for lcm-gcd identity and modular law for rings

Prove the ideal $(f)$ is not maximal

Proving that tensoring a projective module with a flat module gives a projective module?

Noether normalisation $A=\mathbb{C}[x,y]/(f)$ where $f=(x-a)y^2-(x-b)$ find a transcendence element

In $\Bbb Z[x,y]$ is $(x^2+1,y^2+1,-xy+1)$ prime?

Find the height of prime ideal $p=(x_n-x_1^n,\ldots ,x_2-x_1^n)$ in $\mathbb{C}[x_1,\ldots,x_n]$

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