Is the integer polynomial ring $\mathbb Z[X]$ an Euclidean domain?
1720
Show that $\langle 2,x \rangle$ is not a principal ideal in $\mathbb Z [x]$
118073
Is the ring $m\mathbb{Z}$ isomorphic to the ring $n\mathbb{Z}$?
7011
Integral domain with fraction field equal to $\mathbb{R}$
139463
Commutative integral domain does not finitely generate its field of fractions
62134
Show that if $ R $ is an integral domain then a polynomial in $ R[X] $ of degree $ d $ can have at most $ d $ roots
121845
Quotient of polynomials, PID but not Euclidean domain?
7954
Roots of monic polynomial over a number ring
65637
Squares in Polynomial Quotient Ring $ (\mathbb{Z}/2)[x] /(x^{17} - 1) $
57669
A proof that $\mathbb{Z}_{p}$ is an integral domain if and only if $p$ is prime.
138944
Is $\mathbb Z[\sqrt{-3}]$ Euclidean under some other norm?
129438
Gaussian Integers and Quotient Rings
132193
Why $\Bbb Z$ = (integers) is an integral domain?
66020
What is $\mathbb Z[[t]]$? What are the double brackets?
119297
Finding invertible polynomials in polynomial ring $\mathbb{Z}_{n}[x]$
42813
Square valued integer polynomial
27167
Ideals in $F[x]$ and Euclidean domains are generated by any element of minimal degree
85987
Prove that $k[x,y,z,w]/(xy-zw)$, the coordinate ring of $V(xy-zw) \subset \mathbb{A}^4$, is not a unique factorization domain