List questions from commutative-algebra

Published on 05 Apr 2026 - 23:26

136

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A ring for which the contravariant hom functor (dual functor) is conservative.

Published on 16 Apr 2026 - 18:35

188

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2nd uniqueness Theorem in primary decomposition

Published on 25 Mar 2026 - 9:22

281

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In a non-unitary commutative ring, every maximal ideal is primary?

Published on 25 Mar 2026 - 7:49

94

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Eisenbud 1.21a $G(n):= F(n)-F(n-1)$, given $G(n)$ is integer-valued, then so is $F(n)$.

Published on 28 Apr 2026 - 9:21

148

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Proving pair consisting of a set and binary operation is a group and whether it is Abelian.

Published on 15 Apr 2026 - 14:21

77

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Example of $A \subseteq B$, $Q(A)=Q(B)$, with $a \in A$ prime in $A$ but not prime in $B$

Published on 15 Apr 2026 - 16:10

368

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what is inverse limit in this polynomial ring?

Published on 13 Apr 2026 - 1:21

36

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For an ideal $\mathfrak{a}$, find an $x$ such that $\mathfrak{d}(x)=\mathfrak{a}^{-1}$

Published on 15 Apr 2026 - 9:26

137

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Matrices and Banach algebras

Published on 14 Apr 2026 - 4:05

262

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Infinite tensor product of vector spaces as direct limit of finite families of vector spaces

Published on 24 Apr 2026 - 20:03

57

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Step of a proof in $R$-modules

Published on 11 Apr 2026 - 10:47

439

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Hilbert's polynomial of a polynomial quotient ring

Published on 14 Apr 2026 - 15:00

167

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Hilbert-Samuel multiplicity of standard graded $k$-algebra which is an integral domain and $k$ is algebraically closed

Published on 03 May 2026 - 0:26

93

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In $\mathbb{C}[a_{11}, \ldots, a_{nn}, b_{11}, \ldots, b_{nn}]$, is $\langle AB - I_n \rangle = \langle BA - I_n \rangle$?

Published on 16 Apr 2026 - 6:09

List Question

Primary ideal in a ring of fractions

A ring for which the contravariant hom functor (dual functor) is conservative.

2nd uniqueness Theorem in primary decomposition

In a non-unitary commutative ring, every maximal ideal is primary?

Eisenbud 1.21a $G(n):= F(n)-F(n-1)$, given $G(n)$ is integer-valued, then so is $F(n)$.

Proving pair consisting of a set and binary operation is a group and whether it is Abelian.

Example of $A \subseteq B$, $Q(A)=Q(B)$, with $a \in A$ prime in $A$ but not prime in $B$

what is inverse limit in this polynomial ring?

For an ideal $\mathfrak{a}$, find an $x$ such that $\mathfrak{d}(x)=\mathfrak{a}^{-1}$

Matrices and Banach algebras

Infinite tensor product of vector spaces as direct limit of finite families of vector spaces

Step of a proof in $R$-modules

Hilbert's polynomial of a polynomial quotient ring

Hilbert-Samuel multiplicity of standard graded $k$-algebra which is an integral domain and $k$ is algebraically closed

In $\mathbb{C}[a_{11}, \ldots, a_{nn}, b_{11}, \ldots, b_{nn}]$, is $\langle AB - I_n \rangle = \langle BA - I_n \rangle$?

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