[sage-support] Re: prime ideals in Z_n

2011-03-15 Thread John Cremona
On Mar 14, 10:29 am, Avishek Adhikari wrote: > I fully agree with you. But it will not certainly give all prime ideals! Yes it will. The number of prime ideals of Z/nZ is exactly the number of prime divisors of n. In general the prime ideals of R/I (where R is a commutative ring and I an ide

Re: [sage-support] Re: prime ideals in Z_n

2011-03-14 Thread John H Palmieri
On Monday, March 14, 2011 11:29:20 AM UTC-7, avishek wrote: > > I fully agree with you. But it will not certainly give all prime ideals! > > > On Sun, Mar 13, 2011 at 9:30 PM, John Cremona wrote: > >> This is not a computational question at all but an easy exercise. >> There is one prime ideal

Re: [sage-support] Re: prime ideals in Z_n

2011-03-14 Thread Avishek Adhikari
I fully agree with you. But it will not certainly give all prime ideals! On Sun, Mar 13, 2011 at 9:30 PM, John Cremona wrote: > This is not a computational question at all but an easy exercise. > There is one prime ideal for each prime factor p of n, namely pZ/nZ. > See any book on elementary ri

[sage-support] Re: prime ideals in Z_n

2011-03-13 Thread John Cremona
This is not a computational question at all but an easy exercise. There is one prime ideal for each prime factor p of n, namely pZ/nZ. See any book on elementary ring theory! John Cremona On Mar 12, 11:41 pm, Avishek Adhikari wrote: > Hello, >    I shall be glad, if you kindly send the help towa