Intereting Posts

What does it mean for a matrix to be orthogonally diagonalizable?
How to tell $i$ from $-i$?
How to turn this into an equation and then sum the series?
Failure of isomorphisms on stalks to arise from an isomorphism of sheaves
$\frac{1}{\sin 8^\circ}+\frac{1}{\sin 16^\circ}+…+\frac{1}{\sin 4096^\circ}+\frac{1}{\sin 8192^\circ}=\frac{1}{\sin \alpha}$,find $\alpha$
Algorithms for symbolic definite integration?
Explain why $x^+=A^+b$ is the shortest possible solution to $A^TA\hat{x}=A^Tb$
Surreal numbers without the axiom of infinity
Representation theorem for local martingales
What is the significance of the power of $3$ in the sequence of primes given by $\lfloor A^{3^n}\rfloor ?$
Suppose $K/F$ is an algebraic extension of fields. Prove that if $R$ is a ring with $F ⊆ R ⊆ K$, then R must also be a field.
Determining the order of $-a$ if $a$ is a primitive root
Is $\sqrt{x^2}=|x|$ or $=x$? Isn't $(x^2)^\frac12=x?$
Is the Structure Group of a Fibre Bundle Well-Defined?
Harmonic functions on $\mathbf{Z}^2$

I just want to know if there is an algorithm to find the primitive element of a given finite extension $F/k$ if the intermediate fields are given. I know how to approach it in particular examples picking linear combinations (the case $\mathbb{Q}(\sqrt{2}, \sqrt{3})/\mathbb{Q}$ for instance). If it does not exists, is there, then, an algorithm for the finite separable extension case or for extensions of $\mathbb{Q}$?

Thanks in advance.

- Why field of fractions is flat?
- Why should I care about fields of positive characteristic?
- Isomorphism of two direct sums
- Finite p-group with a cyclic frattini subgroup.
- A finite, cancellative semigroup is a group
- Is the zero map (between two arbitrary rings) a ring homomorphism?

- Quotient objects, their universal property and the isomorphism theorems
- Presentation of group equal to trivial group
- Degree 2 Field extensions
- Is every normal subgroup of a finitely generated free group a normal closure of a finite set?
- how to find inverse of a matrix in $\Bbb Z_5$
- Example of a non-separable normal extension
- Is $\mathbb Q_r$ algebraically isomorphic to $\mathbb Q_s$ while r and s denote different primes?
- Is $\bigl(X(X-a)(X-b)\bigr)^{2^n} +1$ an irreducible polynomial over $\mathbb{Q}$?
- Give $3$ examples of a field extensions which are neither normal nor separable.
- Determining whether ${p^{n-2} \choose k}$ is divisible by $p^{n-k -2}$ for $1 \le k < n$

- Martingale that is not a Markov process
- Adjoining an element to a ring
- Fubini's Theorem for Infinite series
- A question on measure space and measurable function
- What is the term for a factorial type operation, but with summation instead of products?
- $L^{p}$ Boundedness of Fourier Multiplier without Littlewood-Paley
- How to solve $\arg\left(\frac{z}{z-2}\right) = \frac{\pi}{2}$
- Integrating trigonometric function problem $\int \frac{3\sin x+2\cos x}{2\sin x+3\cos x}dx$
- What is the remainder of $16!$ is divided by 19?
- Need isomorphism theorem intuition
- measurability of a function -equivalent conditions
- Is the empty graph connected?
- Fredholm Alternative as seen in PDEs, part 2
- Ways to fill a $n\times n$ square with $1\times 1$ squares and $1\times 2$ rectangles
- Convex Hull of Precompact Subset is Precompact