Ring whose finitely generated ideals are principal

Asked Jun 01 '24 at 10:22

Active Jun 01 '24 at 17:42

Viewed 55 times

The boolean ring $\prod_{n\in N} (Z/2Z)$ is an example of rings that verifie two properties

My question : is it possible to find an integral domain that has the same property ?

asked Jun 01 '24 at 10:22

wilhelm

4

Bezout domains (which are not principal domains) is the term you're looking for – FShrike Jun 01 '24 at 10:27
Thanks. With this term, it is easy to find the classical example of holomorphic functions on C. – wilhelm Jun 01 '24 at 14:21
DaRT query – rschwieb Jun 01 '24 at 22:50

0 Answers0