Prime elements in the ring of integers adjoin a complex number.
42875
The prime elements of the ring $ \mathbb{Z} \! \left[ \dfrac{i \sqrt{3} - 1}{2} \right] $.
81743
Prime ideals in $C[0,1]$
105313
Existence of minimal prime ideal contained in given prime ideal and containing a given subset
127418
If ring $B$ is integral over $A$, then an element of $A$ which is a unit in $B$ is also a unit in $A$.
86922
Ring with 10 elements is isomorphic to $\mathbb{Z}/10 \mathbb{Z} $
92822
Finite number of elements generating the unit ideal of a commutative ring
7203
Prime numbers the rank of which is also a prime.
111114
Prove that an ideal in $k[x,y]$ is a prime ideal
75558
Counter-example for prime ideals in a non commutative ring.
122698
Construction of multiplicative group of complex numbers
129438
Gaussian Integers and Quotient Rings
151797
Which element belong to the principal ideal $(3+i)$?
57669
A proof that $\mathbb{Z}_{p}$ is an integral domain if and only if $p$ is prime.
147871
How do the prime ideals of $\mathbb{Z}_{k}$ look like?
62917
Associated Prime Ideals in a Noetherian Ring; Exercise 6.4 in Matsumura
116000
Prove that prime ideals of a finite ring are maximal
39049
Ring With Unity As a Direct Sum of Non-Zero Ideals