List questions from commutative-algebra

133

Views

Characterizing integral domains for which every ideal, that can be generated by two elements, is projective?

Published on 25 Mar 2026 - 19:59

91

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How to prove that $\mathbb{P} = \operatorname{Spec}( k[q] ) \cup \operatorname{Spec}( k[q^{-1}] )$?

Published on 01 Apr 2018 - 9:09

793

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Finitely generated module over an integral domain

Published on 01 Apr 2018 - 11:47

235

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Faithful Flat after Base Change

Published on 01 Apr 2018 - 15:42

170

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Is $\mathbb{Z}[x]/(2x^2)$ a finitely generated $\mathbb{Z}$ module?

Published on 25 Mar 2026 - 6:24

65

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Commutative ring and ideals

Published on 27 Mar 2026 - 13:45

256

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Coordinate ring of Grassmannian is UFD

Published on 01 Apr 2018 - 22:13

112

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Kernel of evaluation map into field of quotients

Published on 02 Apr 2018 - 2:47

127

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On the kernel of the surjective ring homomorphism $R[X] \to R[ab^{-1}]$ taking $X$ to $ab^{-1}$

Published on 24 Mar 2026 - 23:49

617

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Why can any primary decomposition be reduced to a minimal one

Published on 02 Apr 2018 - 16:36

232

Views

Group objects in a slice category

Published on 26 Mar 2026 - 9:14

42

Views

Uniqueness in the weak Nullstellensatz

Published on 03 Apr 2018 - 7:32

123

Views

Are global complete intersections detectable from any presentation?

Published on 04 Apr 2018 - 16:05

314

Views

Local, factorization domain with principal maximal ideal is a PID?

Published on 23 Mar 2026 - 3:14

568

Views

Units are homogeneous in $\mathbb Z$-graded domains

Published on 27 Mar 2026 - 22:22

List Question

Characterizing integral domains for which every ideal, that can be generated by two elements, is projective?

How to prove that $\mathbb{P} = \operatorname{Spec}( k[q] ) \cup \operatorname{Spec}( k[q^{-1}] )$?

Finitely generated module over an integral domain

Faithful Flat after Base Change

Is $\mathbb{Z}[x]/(2x^2)$ a finitely generated $\mathbb{Z}$ module?

Commutative ring and ideals

Coordinate ring of Grassmannian is UFD

Kernel of evaluation map into field of quotients

On the kernel of the surjective ring homomorphism $R[X] \to R[ab^{-1}]$ taking $X$ to $ab^{-1}$

Why can any primary decomposition be reduced to a minimal one

Group objects in a slice category

Uniqueness in the weak Nullstellensatz

Are global complete intersections detectable from any presentation?

Local, factorization domain with principal maximal ideal is a PID?

Units are homogeneous in $\mathbb Z$-graded domains

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