Irreducible gaussian integers with prime norm in $\mathbb{Z}$
90144
Show that if $a+bi$ is irreducible over $\mathbb{Z} [i]$ then $a^2 + b^2$ is prime over $\mathbb{Z} $
45850
Prime elements in the gaussian integers
111935
Irreducible but not prime
34807
Localization at finitely many minimal prime ideals
108767
Irreducible Components of the Prime Spectrum of a Quotient Ring and Primary Decomposition
37219
Quadratic Integers in $\mathbb Q[\sqrt{-5}]$
129438
Gaussian Integers and Quotient Rings
48670
GCD in Gaussian integers.
145752
Aut $\mathbb Z_p\simeq \mathbb Z_{p-1}$
16592
Irreducible polynomial which is reducible modulo every prime
140497
Irreducibles are prime in a UFD
37929
Classification of prime ideals of $\mathbb{Z}[X]$
124926
Are Hilbert primes also Hilbert irreducible ? Furthermore, are Hilbert primes also primes in $\mathbb{ Z}$?
129821
Prove that the Gaussian rationals is the field of fractions of the Gaussian integers
8710
Bounds for $n$-th prime
98544
Prove that in any GCD domain every irreducible element is prime
28658
$R$ with an upper bound for degrees of irreducibles in $R[x]$