List questions from commutative-algebra

62

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$A$-flatness of $\frac{B}{\langle b_i \rangle}$, $A \subseteq B=A[b]$, implies $A$-flatness of $\frac{B}{\langle b_1,b_2 \rangle}$?

Published on 26 Mar 2026 - 1:04

241

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Exercise 0.6i in Miles Reid's Commutative Algebra

Published on 29 Mar 2026 - 10:18

177

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examples of regular schemes

Published on 03 May 2026 - 10:41

100

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Theorem B1 in Matsumura's "Commutative Ring Theory," Appendix B.

Published on 13 Apr 2026 - 2:04

72

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When flatness of $S$ over $R_i$ implies flatness of $S$ over the ring generated by $R_1,R_2$

Published on 26 Mar 2026 - 1:04

137

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Generators of an ideal that form a regular sequence

Published on 11 Apr 2026 - 18:18

62

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square-detecting ideal

Published on 11 Apr 2026 - 3:14

231

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Special irreducible polynomials in $k[x,y]$

Published on 14 Apr 2026 - 17:20

60

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When $d \in D$ irreducible implies $d+I \in \frac{D}{I}$ irreducible?

Published on 14 Apr 2026 - 21:18

68

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Max(A) of an algebra A

Published on 11 Apr 2026 - 0:42

880

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Is this proof that the ring of integers of an algebraic number field is a free Z-module incorrect?

Published on 13 Apr 2026 - 12:18

52

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Please explain the sentence "$(A \otimes_{\mathbb{Z}} R)[[t]]$ has an $R$-linear action of $\phi$"

Published on 13 Apr 2026 - 9:29

72

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Flatness of a certain ring extension

Published on 26 Mar 2026 - 1:01

116

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Quotient ring of a local ring

Published on 13 Apr 2026 - 12:21

61

Views

Preserving inclusions closed irreducible sets in quasi-affine variety

Published on 14 Apr 2026 - 9:13

List Question

$A$-flatness of $\frac{B}{\langle b_i \rangle}$, $A \subseteq B=A[b]$, implies $A$-flatness of $\frac{B}{\langle b_1,b_2 \rangle}$?

Exercise 0.6i in Miles Reid's Commutative Algebra

examples of regular schemes

Theorem B1 in Matsumura's "Commutative Ring Theory," Appendix B.

When flatness of $S$ over $R_i$ implies flatness of $S$ over the ring generated by $R_1,R_2$

Generators of an ideal that form a regular sequence

square-detecting ideal

Special irreducible polynomials in $k[x,y]$

When $d \in D$ irreducible implies $d+I \in \frac{D}{I}$ irreducible?

Max(A) of an algebra A

Is this proof that the ring of integers of an algebraic number field is a free Z-module incorrect?

Please explain the sentence "$(A \otimes_{\mathbb{Z}} R)[[t]]$ has an $R$-linear action of $\phi$"

Flatness of a certain ring extension

Quotient ring of a local ring

Preserving inclusions closed irreducible sets in quasi-affine variety

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