A question about polynomial. Can we conclude that $h \in D\left[x\right]$ where $D$ is a commutative integral domain
69728
If $f$ divides $g$ in $S[x]$, show that $f$ divides $g$ in $R[x]$ for $R$ a sub-ring of $S$.
82771
Proving that any polynomial $p:\mathbb{R}\rightarrow \mathbb{R}$ is not bounded, but its restriction to any bounded set is bounded
15137
Does $IJ=IK\implies J=K$ always hold for integral domain and finitely generated nonzero ideal $I$?
111248
The Uniqueness of a Coset of $R[x]/\langle f\rangle$ where $f$ is a Polynomial of Degree $d$ in $R[x]$
55347
for two non zero complex polynomial $p(z),q(z)$ we have $p(z)\overline{q(z)}$ is analytic if and only if ?? CSIR - June $2013$
4196
A valid proof for the invariance of domain theorem?
107984
Is $C^1[a,b]$ with the norm $\left \| f \right \|_1=(\int_{a}^{b}\left | f(t) \right |dt)+(\int_{a}^{b}\left | f´(t) \right |dt)$ a complete space?
115541
Subrings of polynomial rings over the complex plane
141410
Injective integral domains are fields
66293
$der(\{x\})$ is closed and $x\in der(der(A))$
145191
Content of a polynomial
124460
Show that if $f \in \mathbb{C} \left[x_1, \dots, x_n \right]$ vanishes at every point of $\mathbb{Z}^n$, then $f$ is the zero polynomial.
76496
Showing that every field is an integral domain.
133636
Is $\mathbb Z[X]/(X^2-1)$ a domain?
85206
Verifying proof :an Ideal $P$ is prime Ideal if $R/P$ is an integral domain.
27167
Ideals in $F[x]$ and Euclidean domains are generated by any element of minimal degree
95146
Polynomial ring $R[X] $ has zero Jacobson radical, for $R$ a domain