List questions from commutative-algebra

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When a finite local ring $R$ has $-1$ as a square in $R^\times$?

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285

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Generators for a finitely generated graded ring

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97

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Injectivity of simple modules

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Isomorphic quotient of a module over Noetherian commutative ring

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How to prove this comment of Fulton

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Canonical isomorphism between Cauchy sequence completion and inverse limit

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G-equivariant invertible sheaves on affine curves

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104

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$(x,y)$-primary ideals

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329

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Krull dimension and Hilbert polynomial of graded rings

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Atiyah and Macdonald, Proposition 2.9

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How to characterize all finite commutative local rings with the maximal ideal of fixed order (if the order is small)?

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$AB=z \mathrm{Id}_n$ implies $z^m BA = z^{m+1} \mathrm{Id}_n$ for what $m$?

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Powers of prime ideals

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273

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Is the trace of an idempotent matrix a sum of idempotents?

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List Question

An injective-injective module problem

When a finite local ring $R$ has $-1$ as a square in $R^\times$?

Generators for a finitely generated graded ring

Injectivity of simple modules

Isomorphic quotient of a module over Noetherian commutative ring

How to prove this comment of Fulton

Canonical isomorphism between Cauchy sequence completion and inverse limit

G-equivariant invertible sheaves on affine curves

$(x,y)$-primary ideals

Krull dimension and Hilbert polynomial of graded rings

Atiyah and Macdonald, Proposition 2.9

How to characterize all finite commutative local rings with the maximal ideal of fixed order (if the order is small)?

$AB=z \mathrm{Id}_n$ implies $z^m BA = z^{m+1} \mathrm{Id}_n$ for what $m$?

Powers of prime ideals

Is the trace of an idempotent matrix a sum of idempotents?

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