Determine all the prime ideals of $\Bbb Z[x]$ (maybe a different method)
37929
Classification of prime ideals of $\mathbb{Z}[X]$
148550
Units in quotient ring of $\mathbb Z[X]$
1720
Show that $\langle 2,x \rangle$ is not a principal ideal in $\mathbb Z [x]$
87078
Prove the following set is an ideal of the ring $Z[x]$
7938
Number of Homomorphisms from $\Bbb{Z}_m$ to $\Bbb{Z}_n$
132193
Why $\Bbb Z$ = (integers) is an integral domain?
145594
Splitting of prime ideals in algebraic extensions
19230
Prime/Maximal Ideals in $\mathbb{Z}[\sqrt d]$
113152
Prove Principal Ideal Domain from Bezout's condition, and terminating divisibility chain
16945
Finding the Ideals of a Direct Product of Rings
44083
prove that maximal ideal in $\mathbb{Z}$ generated by a prime number
21946
What do prime ideals in $k[x,y]$ look like?
27916
Are the determinantal ideals prime?
87780
Is the ideal $(2,X+1)\subset\Bbb{Z}[X]$ prime, maximal or neither?
77903
Finding the integral closure of $\mathbb{Z}$ in $\mathbb{Q}[i]$
119297
Finding invertible polynomials in polynomial ring $\mathbb{Z}_{n}[x]$
19310
Identify the ring $\mathbb{Z}[x]/(2x)$