User zcn

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What is meant by squeezing a module between two f.g. modules?

answered Feb 24, 2014 at 2:45

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Integral morphism between varieties has finite fiber

answered Feb 25, 2014 at 4:39

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Higher centers are characteristic.

answered Mar 7, 2014 at 8:47

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A question about isomorphism

answered Jan 21, 2014 at 0:35

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Counterexamples to Nakayama's Lemma if $M$ is not finitely generated

answered Jan 25, 2014 at 1:57

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can the projective dimension be read from any projective resolution?

answered Jan 24, 2014 at 20:32

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If $N\cap rM=rN$ for all $r\in R$, then is $M=N\oplus K$ for some $K$?

answered Jan 27, 2014 at 4:51

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local ring has same dimension as its regular local subring

answered Jan 27, 2014 at 21:00

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Coordinate ring of affine variety

answered Jan 28, 2014 at 2:32

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Finite group that has order not divisible by 3

answered Jan 3, 2014 at 17:10

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Sum of Homogeneous Ideals vs Homogeneous Ideal of Intersection

answered Dec 23, 2013 at 11:17

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$B$ is a finitely generated module over $A$. Then if $A$ is a Noetherian ring (or Artinian ring), then $B$ is a Noetherian (Artinian) ring.

answered Jan 26, 2014 at 4:10

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Prove that a complex valued polynomial over two variables has infinitely many zeroes

answered Jan 13, 2014 at 22:28

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Grade of the Hom functor

answered Jan 21, 2014 at 20:37

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Direct sum and modules

answered Jan 19, 2014 at 23:56

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Maximal ideal not containing the set of powers of an element is prime

answered Jan 16, 2014 at 9:26

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Theorem 20.17 in Eisenbud: a few questions on the proof

answered Jan 18, 2014 at 2:18

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If $a$ is an element of a group and $|a| = n$ , prove that $ C_G(a)= C_G(a^k)$

answered Jan 16, 2014 at 21:06

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What if $\operatorname{div}f=0$?

answered Jan 9, 2014 at 19:21

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Definition of primary ideal question

answered Jan 15, 2014 at 3:46

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vanishing of Tor and regular sequences

answered Jan 15, 2014 at 6:52

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Rings and Categories of Modules by Anderson-Fuller: Exercise 2.2.2

answered Dec 24, 2013 at 9:11

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Proving that this space is path connected.

answered Dec 14, 2013 at 11:20

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Finite intersection of DVRs

answered Jan 1, 2014 at 16:54

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A property of $I$-adic topologies

answered Jan 14, 2014 at 20:31

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Does center contains commutator subgroup imply group is nilpotent?

answered Jan 8, 2014 at 7:31

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Finitely generated module question

answered Jan 1, 2014 at 22:25

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Subgroups of Prime Power Index

answered Feb 3, 2014 at 8:08

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Show that $\ker(f)$ is finitely generated, when $f: M \rightarrow A^n$ is a surjective $A$-module homomorphism and $M$ is finitely generated

answered Jan 29, 2014 at 21:21

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Question about proof that every f.g. projective module over a local ring is free.

answered Mar 5, 2014 at 7:41

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327 Answers

What is meant by squeezing a module between two f.g. modules?

Integral morphism between varieties has finite fiber

Higher centers are characteristic.

A question about isomorphism

Counterexamples to Nakayama's Lemma if $M$ is not finitely generated

can the projective dimension be read from any projective resolution?

If $N\cap rM=rN$ for all $r\in R$, then is $M=N\oplus K$ for some $K$?

local ring has same dimension as its regular local subring

Coordinate ring of affine variety

Finite group that has order not divisible by 3

Sum of Homogeneous Ideals vs Homogeneous Ideal of Intersection

$B$ is a finitely generated module over $A$. Then if $A$ is a Noetherian ring (or Artinian ring), then $B$ is a Noetherian (Artinian) ring.

Prove that a complex valued polynomial over two variables has infinitely many zeroes

Grade of the Hom functor

Direct sum and modules

Maximal ideal not containing the set of powers of an element is prime

Theorem 20.17 in Eisenbud: a few questions on the proof

If $a$ is an element of a group and $|a| = n$ , prove that $ C_G(a)= C_G(a^k)$

What if $\operatorname{div}f=0$?

Definition of primary ideal question

vanishing of Tor and regular sequences

Rings and Categories of Modules by Anderson-Fuller: Exercise 2.2.2

Proving that this space is path connected.

Finite intersection of DVRs

A property of $I$-adic topologies

Does center contains commutator subgroup imply group is nilpotent?

Finitely generated module question

Subgroups of Prime Power Index

Show that $\ker(f)$ is finitely generated, when $f: M \rightarrow A^n$ is a surjective $A$-module homomorphism and $M$ is finitely generated

Question about proof that every f.g. projective module over a local ring is free.