Find the necessity and sufficiency condition for $Z_m$ to be a Field
94429
Alternative methods to prove that $Z_m$ is a field under addition and multiplication $\bmod\ m$ iff $m$ is a prime
7567
Degree of Field Extensions and $F(\alpha)$
156796
$z_0$ non-removable singularity of $f\Rightarrow z_0$ essential singularity of $\exp(f)$
41069
Justifying $\,\Bbb{Z}[i]/\langle 2\rangle\cong \Bbb{Z}[X]/\langle X^2+1,2\rangle\cong \Bbb{F}_2[X]/\langle X^2+1\rangle$
100162
Minimal polynomial over an extension field divides the minimal polynomial over the base field
82576
Intersection of two subfields of the Rational Function Field in characteristic $0$
112485
Allowing the zero element in a field to have an inverse
146617
A complete picture of the lattice of subfields for a cyclotomic extension over $\mathbb{Q}$.
119052
Finding invertible elements in $\mathbb{Z}/m\mathbb{Z}$
136770
Any field that contains the integers contains the rationals as a subfield (Analysis proof)
131943
How to directly prove that $M$ is maximal ideal of $A$ iff $A/M$ is a field?
81550
Linking two theorems: on algebraic closure and on minimal splitting field
102175
$Z=XY$, $E_Z[Z]$, $E_{X,Y}[XY]$
91622
Help with proof that $\mathbb Z[i]/\langle 1 - i \rangle$ is a field.
66355
A sufficient condition for irreducibility of a polynomial in an extension field.
93490
Field that is a subfield of own of its subfields
4401
Constructive proof that algebraic numbers form a field