Is this ring a PID? What are its invertible and irreducible elements?
49436
Show that the ring of all rational numbers, which when written in simplest form has an odd denominator, is a principal ideal domain.
80679
Principal ideal rings that are not integral domains
31451
Proving a subring of $\mathbb{Q}$ containing $\mathbb{Z}$ is a PID
103830
Each element of a ring is either a unit or a nilpotent element iff the ring has a unique prime ideal
22789
How to determine whether a unique factorization domain is a principal ideal domain?
93658
Proving that an ideal in a PID is maximal if and only if it is generated by an irreducible
149783
$\mathbb Z\times\mathbb Z$ is principal but is not a PID
109470
Proof of whether a specific element is in a commutative, invertible monoid.
42875
The prime elements of the ring $ \mathbb{Z} \! \left[ \dfrac{i \sqrt{3} - 1}{2} \right] $.
42809
How can we show that $(I-A)$ is invertible?
24931
Is the localization of a PID a PID?
97999
Explain these ring isomorphisms
94722
GCD expressed with irreducible elements in a unique factorization domain
151797
Which element belong to the principal ideal $(3+i)$?
70047
Is the ideal generated by irreducible element in principal ideal domain maximal?
28987
One-dimensional [Noetherian] UFD is a PID
118073
Is the ring $m\mathbb{Z}$ isomorphic to the ring $n\mathbb{Z}$?