Ideal generated by two monic polynomials in $\mathbb{Q}[x]$ and the GCD of their degrees
6012
Prove that $\gcd(a^n - 1, a^m - 1) = a^{\gcd(n, m)} - 1$
97028
Find all irreducible monic polynomials in $\mathbb{Z}/(2)[x]$ with degree equal or less than 5
92822
Finite number of elements generating the unit ideal of a commutative ring
30752
Proof of $(\mathbb{Z}/m\mathbb{Z}) \otimes_\mathbb{Z} (\mathbb{Z} / n \mathbb{Z}) \cong \mathbb{Z}/ \gcd(m,n)\mathbb{Z}$
76126
How to find the GCD of two polynomials
20097
Cardinality of the quotient ring $\mathbb{Z}[x]/(x^2-3,2x+4)$
130944
Greatest common divisor of polynomials over $\mathbb{Q}$
70856
Construct ideals in $\mathbb Z[x]$ with a given least number of generators
72350
Constructing Idempotent Generator of Idempotent Ideal
49854
Ideals in polynomial rings generated by linear polynomials
18186
Prove that ideal $I = \langle X^2,X+1\rangle$ is principal or not (in $\mathbb{Z}[X]$ and $\mathbb{Q}[X]$ )
99835
Polynomial in $\mathbb{Q}[x]$ with root $\sqrt[3]{2}+\sqrt[3]{3}$
37929
Classification of prime ideals of $\mathbb{Z}[X]$
8087
Algebraic integers of $\mathbb{Q}(\sqrt{m})$ for $m$ a squarefree integer
17239
Find all ideals of ${\mathbb{Z}_n}$
74150
Problem on the number of generators of some ideals in $k[x,y,z]$
41050
Degree of the splitting field of $ x^3-5 $ over $\mathbb{Q}$