Timeline for $R$ is PID, so $R/I$ is PID, and application on $\mathbb{Z}$ and $\mathbb{N}$
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Nov 21, 2019 at 15:50 | comment | added | Arturo Magidin | @TheStudent: As the second paragraph says, the quotient of a PID is a principal ideal ring. If in addition the ideal is prime, then the quotient is a domain. A principal ideal ring that is a domain is a PID. | |
| Nov 21, 2019 at 15:40 | comment | added | TheStudent | What if $I$ will be a prime ideal? | |
| Dec 10, 2011 at 13:11 | vote | accept | Marie. P. | ||
| Dec 9, 2011 at 22:16 | history | edited | Arturo Magidin | CC BY-SA 3.0 | added 56 characters in body |
| Dec 9, 2011 at 21:02 | history | answered | Arturo Magidin | CC BY-SA 3.0 |