How to tell an ideal of integer polynomial ring is principal?
104789
How to tell an ideal of integer polynomial ring is principal?
126672
Product of principal ideals: $(a)\cdot (b) = (a b)$
19230
Prime/Maximal Ideals in $\mathbb{Z}[\sqrt d]$
69649
If an ideal contains the multiplicative identity, then it is the whole ring
7833
Ideal and minimal polynomial
149747
Prove that if I is a prime ideal of R then I[x] is a prime ideal of R[x]
70047
Is the ideal generated by irreducible element in principal ideal domain maximal?
108896
Prime ideal in a polynomial ring over an integrally closed domain
104782
Polynomial irreducible - maximal ideal
65536
Finitely generated ideals in a Boolean ring are principal, why?
112099
Polynomial ring with integral coefficients is integral
63447
Prove that the kernel of a homomorphism is a principal ideal. (Artin, Exercise 9.13)
80679
Principal ideal rings that are not integral domains
60391
Ideal Generated by Three Elements in Polynomial Ring
59411
Primary ideals confusion with definition
31585
Primary ideals of $\mathbb{Z}$
24224
How to prove the ring of Laurent polynomials over a field is a principal ideal domain?