Question

Why isn't it true that every finitely generated module is also projective?

score 86 · Answer 1 · 2020-03-29 01:14:16

86

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Why isn't it true that every finitely generated module is also projective?

Published on 29 Mar 2020 - 1:14

score 45 · Answer 2 · 2026-04-03 14:23:21

45

Views

Proof: If a|b, then a|bc.

Published on 03 Apr 2026 - 14:23

score 47 · Answer 3 · 2020-03-29 02:59:29

47

Views

Validity of Proof that Recursive Function is Increasing

Published on 29 Mar 2020 - 2:59

score 95 · Answer 4 · 2026-03-28 18:17:01

95

Views

Any infinite subset of totally bounded metric space contains infinite subsets of arbitrarily small diameter.

Published on 28 Mar 2026 - 18:17

score 338 · Answer 5 · 2026-04-03 14:32:18

338

Views

$a+b \mid ab$ from CMO 1996

Published on 03 Apr 2026 - 14:32

score 84 · Answer 6 · 2020-03-29 07:01:12

84

Views

Help with proof of polynomial divisor

Published on 29 Mar 2020 - 7:01

score 875 · Answer 7 · 2026-03-28 00:49:15

875

Views

If $X\thicksim\text{Binomial}(n,p)$ and $Y\thicksim\text{Bernoulli}(p)$ are independent random variables, find distribution of $X+Y$

Published on 28 Mar 2026 - 0:49

score 119 · Answer 8 · 2026-03-30 05:26:47

119

Views

Suppose that S is a non-empty subset of $R$. Prove that is $M=supS$, then for every $\epsilon > 0$ there exists $s \in S$ such that $s>M - \epsilon$

Published on 30 Mar 2026 - 5:26

score 61 · Answer 9 · 2020-03-29 11:22:15

61

Views

Proving that $D$ is a club in the proof of Solovay's theorem in Jech's Set Theory

Published on 29 Mar 2020 - 11:22

score 306 · Answer 10 · 2026-03-26 02:56:03

306

Views

Why is it so difficult to prove the irrationality of the zeta function for $N$?

Published on 26 Mar 2026 - 2:56

score 318 · Answer 11 · 2020-03-29 12:06:32

318

Views

Proof of Pascals Theorem ${n \choose k} = {n-1 \choose k} + {n-1 \choose k-1}$

Published on 29 Mar 2020 - 12:06

score 102 · Answer 12 · 2026-03-29 12:04:38

102

Views

Exercise 0.6ii in Miles Reid's Commutative Algebra (proof verification)

Published on 29 Mar 2026 - 12:04

score 907 · Answer 13 · 2020-03-29 13:46:27

907

Views

Find the number of rational numbers $m/n$, where $m,n$ are relatively prime positive integers satisfying $m<n$ and $mn=25!$.

Published on 29 Mar 2020 - 13:46

score 32 · Answer 14 · 2020-03-29 13:53:35

32

Views

Find the area under the graph of the function $f(x)=4x-7$ between $x=-2$ and $x=0$

Published on 29 Mar 2020 - 13:53

score 47 · Answer 15 · 2020-03-29 14:00:59

47

Views

Find the area under the graph of the function $f(x)=(1-2x)^2$ between $x=-2$ and $x=2$

Published on 29 Mar 2020 - 14:00

List Question

Why isn't it true that every finitely generated module is also projective?

Proof: If a|b, then a|bc.

Validity of Proof that Recursive Function is Increasing

Any infinite subset of totally bounded metric space contains infinite subsets of arbitrarily small diameter.

$a+b \mid ab$ from CMO 1996

Help with proof of polynomial divisor

If $X\thicksim\text{Binomial}(n,p)$ and $Y\thicksim\text{Bernoulli}(p)$ are independent random variables, find distribution of $X+Y$

Suppose that S is a non-empty subset of $R$. Prove that is $M=supS$, then for every $\epsilon > 0$ there exists $s \in S$ such that $s>M - \epsilon$

Proving that $D$ is a club in the proof of Solovay's theorem in Jech's Set Theory

Why is it so difficult to prove the irrationality of the zeta function for $N$?

Proof of Pascals Theorem ${n \choose k} = {n-1 \choose k} + {n-1 \choose k-1}$

Exercise 0.6ii in Miles Reid's Commutative Algebra (proof verification)

Find the number of rational numbers $m/n$, where $m,n$ are relatively prime positive integers satisfying $m<n$ and $mn=25!$.

Find the area under the graph of the function $f(x)=4x-7$ between $x=-2$ and $x=0$

Find the area under the graph of the function $f(x)=(1-2x)^2$ between $x=-2$ and $x=2$

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