# D_S

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bio website location age 22 member for 2 years, 8 months seen 13 hours ago profile views 138

First year graduate student, interested in abstract algebra and algebraic number theory.

# 47 Questions

 11 Ring of integers is a PID but not a Euclidean domain 7 Lower Bound on Number of Wildly Ramified Extensions of $\mathbb{Q}_p$ 7 Prime elements in $\mathbb{Q}[[X,Y,Z]]$ whose status as an infinite series is unchanged by arbitrary multiplication 6 Haar Measure for Algebraic Number Theory: What Should I Know? 6 Axiom of Choice-esque argument to show that a proof of a statement exists without actually giving a proof

# 781 Reputation

 +5 If $f_n \to f$ and $g_n \to g$ in $L^p$, and $g_n$ is uniformly bounded, then $f_ng_n \to fg$ +5 $F/E$ a finite Galois extension, the integral closure of $E[X]$ in $F(X)$ +10 Why do we have to work to prove the surjectivity of the local Artin map (Serge Lang A.N.T., Chapter XI Theorem 3) +5 There is no homeomorphic copy of $[0,1]$ in the plane which contains an open ball

 2 Why do we have to work to prove the surjectivity of the local Artin map (Serge Lang A.N.T., Chapter XI Theorem 3) 2 How can I solve these congruences? 2 prove that $\phi(xy) =\phi(x)\phi(y)$ for any $x$ and $y$ with $(x, y) = 1$. 2 Suppose that R is a commutative ring with unity such that for each $a$ in $R$ there is an integer $n > 1\mid a^n =a$. Every prime ideal is maximal? 2 Question on extensions of discrete valuation fields

# 58 Tags

 12 abstract-algebra × 29 3 valuation-theory × 7 6 number-theory × 15 3 ideals × 3 5 algebraic-number-theory × 20 3 discrete-mathematics × 2 4 ring-theory × 6 2 class-field-theory × 4 4 elementary-number-theory × 5 2 totient-function

# 2 Accounts

 Mathematics 781 rep 416 MathOverflow 111 rep 4