List questions from commutative-algebra

Published on 11 Apr 2026 - 1:00

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In $\mathbb{Z}/(n)$, does $(a) = (b)$ imply that $a$ and $b$ are associates?

Published on 14 Apr 2026 - 19:25

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Every element in a ring with finitely many ideals is either a unit or a zero divisor.

Published on 15 Apr 2026 - 19:38

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Proof that presheaf is a sheaf for Spec

Published on 09 Apr 2026 - 4:39

348

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Help in this notation in Fulton's Algebraic Curves book

Published on 15 Apr 2026 - 11:51

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Ring of rational power series

Published on 11 Apr 2026 - 12:51

271

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When is $k(X)$ algebraic over $k(Y)$ for a dominant morphism $f:X\rightarrow Y$ between varieties.

Published on 17 Apr 2026 - 4:57

218

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Isomorphism between $R$ and its dual space

Published on 14 Apr 2026 - 17:31

47

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A vector space in the form of a tensor product

Published on 16 Apr 2026 - 3:27

457

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Injective dimension and Krull dimension of a module

Published on 15 Apr 2026 - 21:06

54

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A direct limit concerning some homomorphisms

Published on 14 Apr 2026 - 5:06

779

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Cardinality of minimal generating set of a module is constant

Published on 10 Apr 2026 - 18:36

451

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Injective hull of $\mathbb{ Z}_n$

Published on 09 Apr 2026 - 10:24

614

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Ideal quotient and extension

Published on 12 Apr 2026 - 13:10

379

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Rational group algebras and maximal orders

Published on 17 Apr 2026 - 1:28

List Question

Preimages of coprime ideals

In $\mathbb{Z}/(n)$, does $(a) = (b)$ imply that $a$ and $b$ are associates?

Every element in a ring with finitely many ideals is either a unit or a zero divisor.

Proof that presheaf is a sheaf for Spec

Help in this notation in Fulton's Algebraic Curves book

Ring of rational power series

When is $k(X)$ algebraic over $k(Y)$ for a dominant morphism $f:X\rightarrow Y$ between varieties.

Isomorphism between $R$ and its dual space

A vector space in the form of a tensor product

Injective dimension and Krull dimension of a module

A direct limit concerning some homomorphisms

Cardinality of minimal generating set of a module is constant

Injective hull of $\mathbb{ Z}_n$

Ideal quotient and extension

Rational group algebras and maximal orders

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