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matt stokes's user avatar
matt stokes's user avatar
matt stokes
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6 votes
1 answer
177 views

Finding an elliptic curve which has CM by $\mathbb{Q}(\sqrt{-143})$.

4 votes
0 answers
41 views

Question on Krull domains.

3 votes
1 answer
134 views

If $R$ is a commutative ring with ideals $A$ and $B$ such that $AB$ is principal, then $A$ and $B$ are finitely generated.

3 votes
1 answer
44 views

Let $K/F$ be a function field of genus $g\geq 2$, and $\deg(P)=1$. If $0\leq k\leq 2g - 2$ show there are $g$ values of $k$ s.t $l(kP) = l((k+1)P)$.

2 votes
1 answer
145 views

Question about simultaneous diagonalization.

2 votes
1 answer
1k views

Let $R$ be a commutative ring with $1\neq 0$. Prove that if every proper ideal of $R$ is prime, then $R$ is a field. [duplicate]

2 votes
2 answers
238 views

Question in John Conway's book on Functional Analysis.

2 votes
1 answer
47 views

Question about the prime factorization of Jacobi sums in $\mathbb{Q}(\zeta_m)$.

1 vote
0 answers
30 views

Question on complex multiplication and the Ray class field of imaginary quadratic fields.

1 vote
1 answer
69 views

How to get the Euler product for $\sum_{n = 1}^{\infty} \mu(n)/\phi(n^k)$.

1 vote
1 answer
71 views

Stuck on a problem in Rosen's book on number theory in function fields.

1 vote
1 answer
421 views

If $\zeta$ is an $m$th root of unity, then $1 - \zeta^k \in \mathfrak{q}$ implies $1 -\zeta^k = 0$

1 vote
1 answer
434 views

Confusion on the proof that SU$(n)$ is not a complex Lie subgroup of SL${}_n(\mathbb{C})$.

1 vote
0 answers
100 views

Showing that $3$ splits completely in $\mathbb{Q}(\sqrt{7}, \sqrt{19})$.

1 vote
1 answer
95 views

If $A$ is a fractional ideal of $\mathbb{Q}(\sqrt{-m})$, then $A^{1+\sigma}$ is an ideal in $\mathbb{Q}$.

1 vote
2 answers
101 views

Question on the restricted product topology

1 vote
1 answer
63 views

A question on Ray class groups and the relative degree of a prime

1 vote
0 answers
49 views

A question on genus fields and p-primary class groups

1 vote
0 answers
30 views

Question on the proof that if exactly on prime ramifies in a $p$-extension $L/K$, then $p \mid h_L$ implies $p \mid h_K$.

0 votes
0 answers
39 views

Question about Fekete polynomials evaluated at $-1$.

0 votes
0 answers
33 views

Show $\Delta(\theta)\mathbb{Z} = \Delta(R/\mathbb{Z}) \implies R = \mathbb{Z}[\theta]$.

0 votes
0 answers
30 views

If $K/F$ is a finite extension of fields what is $K \otimes_F F[X]$?