Polynomial ring $\Bbb Z[X]/(2, X^2+1)$
30401
Determining the structure of the quotient ring $\mathbb{Z}[x]/(x^2+3,p)$
9794
Quotient ring of Gaussian integers $\mathbb{Z}[i]/(a+bi)$ when $a$ and $b$ are NOT coprime
88466
Show that polynomial $X^{n+1}-aX^n+aX-1$ has only roots of module $1$
18186
Prove that ideal $I = \langle X^2,X+1\rangle$ is principal or not (in $\mathbb{Z}[X]$ and $\mathbb{Q}[X]$ )
35777
$\mathbb{R}[X,Y]/(Y-X^2,Y+X)\cong_\text{Ring} \mathbb{R}\times \mathbb{R}$
73743
Number of elements in the quotient ring $\mathbb{Z}[X]/(X^2-3, 2X+4)$
41069
Justifying $\,\Bbb{Z}[i]/\langle 2\rangle\cong \Bbb{Z}[X]/\langle X^2+1,2\rangle\cong \Bbb{F}_2[X]/\langle X^2+1\rangle$
107821
The ring of integers of $\mathbf{Q}[i]$
134342
Find a polynomial of degree > 0 in $\mathbb Z_4[X]$ that is a unit.
92517
Easy way to show that $\mathbb{Z}[\sqrt[3]{2}]$ is the ring of integers of $\mathbb{Q}[\sqrt[3]{2}]$
102938
$\Bbb F_2[X]$ modules with 8 elements
103552
The minimal polynomial of a primitive $p^{m}$-th root of unity over $\mathbb{Q}_p$
82262
minimal polynomial of nth root of 2 over $\mathbb Q$
19112
Ring $R= \mathbb Z_3[x]/\langle x^6-1\rangle$
131893
How to find the roots of $ x^4 + x + 1$ in the extension of $\Bbb F_2$?
111493
Division algorithm for polynomials in R[x], where R is a commutative ring with unity.
21439
For which $k\in \Bbb N$ does $x^2+x+1$ divide $ (x + 1)^{2k}+x^{2k} + 1$?