Find all $c \in \Bbb Z_5$ such that $\Bbb Z_5[X]/ \langle x^2+cx+1 \rangle$ be a field.
8784
modulo version of the quadratic formula and Euler's criterion
112909
is a number field by definition a subfield of $ \mathbb C $?
50530
Finding Galois group of $K=\Bbb{Q}(\omega,\sqrt2)$, showing that $K=\Bbb{Q}(\omega\sqrt2)$, and finding $\operatorname{min}(\omega\sqrt2,\Bbb{Q})$
145726
For a subfield $K$ of $\Bbb C$ with $K\nsubseteq \Bbb R$, show $K$ is dense in $\Bbb C$.
10111
Prove or disprove that Q[√2] is a field
39492
Finding $z\in \mathbb C$ with $\sin z = 2$?
51021
Find all the intermediate fields of the splitting field of $x^4 - 2$ over $\mathbb{Q}$
55673
Alternate proof that $\exists\ x \in \Bbb{Z}$ such that $ \gcd (a+bx,c) = 1$?
127237
Let $I = \{a +ib \in \Bbb Z[i] : a$ and $b$ are both multiple of $5\}$.
105103
Automorphism from $\Bbb Q$ to $\Bbb Q$
76100
Showing that $\left\langle a,b \mid abab^{-1}\right\rangle \cong \pi_1(K) \cong \left\langle c,d \mid c^2 d^2 \right\rangle$
57166
Showing that $\Bbb R[x] / \langle x^2 + 1 \rangle$ is isomorphic to $\Bbb C$ question
157074
The elements in the composite field $FK$
46648
How to prove the existence of a splitting field?
22158
Find the quadratic sub field of $\mathbb Q(\zeta_7)$ which can be expressed in the form $\mathbb Q(\sqrt D)$,where $D$ is an integer.
141124
Automorphisms of the ring $\Bbb Z[x]$ of polynomials with integer coefficients
91627
What is a primary decomposition of the ideal $I = \langle xy, x - yz \rangle$?