Minimal of Ring Theory for Field/Galois theory.
42588
Background to start Galois theory
93632
Existence of a ring homomorphism implies characteristic divisibility
35222
Characterizing units in polynomial rings
30714
A question on ring homomorphisms and maximal ideals.
100340
Invariant dimension property on a ring without zero divisors
24919
$\mathbb{Q}(\zeta_{10}) $ degree of field extension over $\mathbb{Q}$
34807
Localization at finitely many minimal prime ideals
144245
Shorter proof of $R/I$ is a field if and only if $I$ is maximal
2995
A finite dimensional algebra over a field has only finitely many prime ideals and all of them are maximal
38571
Localization of a total quotient ring of a reduced ring
66355
A sufficient condition for irreducibility of a polynomial in an extension field.
81550
Linking two theorems: on algebraic closure and on minimal splitting field
1141
Existence of totally ordered ring with zero divisors
82328
Constructing a Galois extension field with Galois group $S_n$
117005
Rules in the ring with coefficients in finite field $\mathbb{F}_p$
129438
Gaussian Integers and Quotient Rings
20613
Units (invertibles) of polynomial rings over a field