Is $\Bbb Z[i]$ a Euclidean ring?
23721
Prove that the Gaussian Integer's ring is a Euclidean domain
115541
Subrings of polynomial rings over the complex plane
72640
$(m,n) = (\gcd(m,n))$ as ideals in $\Bbb Z$
65536
Finitely generated ideals in a Boolean ring are principal, why?
81982
Is $\mathbb{Z}[x]$ a principal ideal domain?
144789
identify the ring $\mathbb{Z}[x]/(2x-1)$
93017
Isomorphism between $\Bbb R$ and $\Bbb R(X)$?
50241
Cardinality of the quotient ring $\mathbb Z_5[i]/\langle 1+i\rangle$
137029
Prove that $\operatorname{Hom}_{\Bbb{Z}}(\Bbb{Q},\Bbb{Z}) = 0$ and show that $\Bbb{Q}$ is not a projective $\Bbb{Z}$-module.
116453
Is any quotient of a Euclidean domain by a prime ideal a Euclidean domain?
135303
Formal power series are a euclidean ring
87780
Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?
108775
Identify the ring $\mathbb {Z}[i]/(2 + i) $
41069
Justifying $\,\Bbb{Z}[i]/\langle 2\rangle\cong \Bbb{Z}[X]/\langle X^2+1,2\rangle\cong \Bbb{F}_2[X]/\langle X^2+1\rangle$
6121
Quotient ring of Gaussian integers
11935
Is $\mathbb{Z} \left[ \frac{1+i \sqrt{7}}{2} \right]$ euclidean?
34668
Find all rings $R$ satisfying $\mathbb Z \subset R \subset \mathbb Z[\frac {1}{2}]$