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Dec
10
awarded  Custodian
Dec
10
reviewed Approve Quantifier elimination in infinitary languages
Dec
10
comment Quadratic extensions - understanding
Yes, every finite extension is algebraic. If $L/K$ has degree $n$, then for any element $\alpha \in L - K$ the set $\{ 1, \alpha, \alpha^2, \ldots, \alpha^n \}$ must be linearly dependent, which shows that $\alpha$ satisfies a polynomial, i.e. $\alpha$ is algebraic.
Dec
10
answered Quadratic extensions - understanding
Oct
14
comment Proving Logarithims
Forgive me for trying to read your professor's mind, but I imagine what she means is that you cannot start with the assumption that $A=B$, manipulate both sides simultaneously, and then arrive at a true statement. However, it is perfectly fine to take the log of both sides, $\log(A)$ and $\log(B)$, separately, and then observe that they are equal.
Oct
9
asked Graphs with disjoint edge sets
Sep
22
answered Are Hilbert primes also Hilbert irreducible ? Furthermore, are Hilbert primes also primes in $\mathbb{ Z}$?
Sep
5
comment What does Linear mean in Linear Space (Vector Space)
A circle is a 1-dimensional space which is not flat. A (hollow) sphere is a 2-dimensional space which is not flat.
Sep
5
answered What does Linear mean in Linear Space (Vector Space)
Jul
20
answered Constructing $\mathbb{C}$ from $\mathbb{R}$
Jul
1
answered Prove that $|GL_n(\mathbb{F})|< q^{n^2}$.
Jun
27
comment The field fixed by inertia group is the maximal unramified field
You can reduce to the finite case: Take an arbitary $\alpha$ in $K^I$ and consider the finite extension $F(\alpha)/F$.
Jun
16
comment Visualising finite fields
Yes, that's the paper. Gassert is currently at the University of Colorado at Boulder as a postdoc. Here's the full list of his arXiv papers: arxiv.org/find/math/1/au:+Gassert_T/0/1/0/all/0/1
May
12
awarded  Yearling
Apr
1
comment $\mathbb{Q}(\sqrt{2+\sqrt{2}})$ is Galois over $\mathbb{Q}$?
Have you tried computing the minimal polynomial for $\sqrt{2+\sqrt{2}}$?
Mar
30
revised Probability that minimum of two numbers is less than 4
this is not linear algebra
Mar
30
suggested approved edit on Probability that minimum of two numbers is less than 4
Mar
30
answered Probability that minimum of two numbers is less than 4
Mar
23
revised How to find the matrix of the Linear Tranformation wrt the bases S and T?
Wrote v's instead of u's in the final matrix
Mar
23
answered How to find the matrix of the Linear Tranformation wrt the bases S and T?