Proving the "extension property" for polynomial rings
109039
Does this "extension property" for polynomial rings satisfy a universal property?
11573
Rings and some of their properties
27577
An irreducible polynomial of degree coprime to the degree of an extension is irreducible over this extension
133975
Localising a polynomial ring and non-maximal prime ideal
76661
Checking the maximality of a principal ideal in $R[x]$
95594
Prove that a polynomial is irreducible or the field contains a $p$th root
20613
Units (invertibles) of polynomial rings over a field
112099
Polynomial ring with integral coefficients is integral
68753
Elements in finite field extensions
107207
$A\subseteq B\subseteq C$ ring extensions, $A\subseteq C$ finite/finitely-generated $\Rightarrow$ $A\subseteq B$ finite/finitely-generated?
77862
Question about fields and quotients of polynomial rings
79535
Prove that $R$ is a commutative ring if $x^3=x$
121244
Homomorphisms and automorphisms on polynomial rings
115541
Subrings of polynomial rings over the complex plane
21578
Showing the minimal polynomial for an element in an extension field is the same as the minimal polynomial of a linear transformation.
29359
Localisation isomorphic to a quotient of polynomial ring
103349
A question about a proof of Noetherian modules and exact sequences