List questions from commutative-algebra

Published on 25 Mar 2026 - 9:34

441

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Proving that "Giving a DVR with quotient field K is equivalent to defining an order function on K"

Published on 25 Mar 2026 - 17:39

61

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Showing integrality of a certain ring

Published on 27 Feb 2019 - 22:22

74

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Idempotence of integral closure operation of ideals

Published on 28 Feb 2019 - 6:11

1.7k

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Spectrum of the ring of formal power series over integers

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320

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Combining localization and base change properties of the module of differentials

Published on 28 Feb 2019 - 18:57

161

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If $\mathfrak m_s$ generates $\mathfrak m_x$ and $\kappa(x)/\kappa(s)$ is finite separable, then $\Omega_{X/S,x} = 0$

Published on 28 Feb 2019 - 21:51

732

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If $P$ is a prime ideal of a commutative ring $R$, then $R[x]/P[x]$ is isomorphic to $(R/P)[x]$

Published on 05 Apr 2026 - 23:09

60

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Viewing ramification in $p$-adic fields in the context of algebraic geometry

Published on 01 Mar 2019 - 6:43

671

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About group ring and projective module

Published on 05 Apr 2026 - 22:37

133

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Clarifying a step in an answer about exterior products of coherent sheaves

Published on 25 Mar 2026 - 9:43

290

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Unramified morphism of schemes: why is "finite" put in parentheses in the statement of this proposition

Published on 02 Mar 2019 - 22:21

148

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Condition on the stalks for a morphism $X \rightarrow S$ to be unramified

Published on 02 Mar 2019 - 23:39

100

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Ideal generated by $yw-x^2$ and $z^2w-2xyz+y^3$ is not radical

Published on 25 Mar 2026 - 9:40

73

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Units in this ring

Published on 06 Apr 2026 - 1:05

List Question

Understanding old question proof about Dedekind domain

Proving that "Giving a DVR with quotient field K is equivalent to defining an order function on K"

Showing integrality of a certain ring

Idempotence of integral closure operation of ideals

Spectrum of the ring of formal power series over integers

Combining localization and base change properties of the module of differentials

If $\mathfrak m_s$ generates $\mathfrak m_x$ and $\kappa(x)/\kappa(s)$ is finite separable, then $\Omega_{X/S,x} = 0$

If $P$ is a prime ideal of a commutative ring $R$, then $R[x]/P[x]$ is isomorphic to $(R/P)[x]$

Viewing ramification in $p$-adic fields in the context of algebraic geometry

About group ring and projective module

Clarifying a step in an answer about exterior products of coherent sheaves

Unramified morphism of schemes: why is "finite" put in parentheses in the statement of this proposition

Condition on the stalks for a morphism $X \rightarrow S$ to be unramified

Ideal generated by $yw-x^2$ and $z^2w-2xyz+y^3$ is not radical

Units in this ring

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