FAQFAQ   SearchSearch   MemberlistMemberlist   UsergroupsUsergroups 
 ProfileProfile   PreferencesPreferences   Log in to check your private messagesLog in to check your private messages   Log inLog in 
Forum index » Science and Technology » Math
union of prime ideals
Post new topic   Reply to topic Page 1 of 1 [2 Posts] View previous topic :: View next topic
Author Message
Gene13@gmail.com
science forum beginner


Joined: 16 Mar 2006
Posts: 32

PostPosted: Mon May 15, 2006 1:52 am    Post subject: union of prime ideals Reply with quote

Let P_1, ... , P_n be prime ideals and let I be an ideal contained in
Union of P_i.
Prove that I in P_i for some i.
Back to top
Ulysse from CH
science forum beginner


Joined: 30 May 2006
Posts: 16

PostPosted: Tue Jun 06, 2006 8:52 am    Post subject: Re: union of prime ideals Reply with quote

On 14 May 2006 18:52:55 -0700, Gene13@gmail.com wrote:

Quote:
Let P_1, ... , P_n be prime ideals and let I be an ideal contained in
Union of P_i.
Prove that I in P_i for some i.
Since no one answered, I looked into my notes. One can prove

this by induction on n and prove the induction step by separating
cases: 1) there is an index i such that I intersect P_i is contained
in the union of the other P_k's; 2) no such index exists. Does this
hint suffice ?
Back to top
Google

Back to top
Display posts from previous:   
Post new topic   Reply to topic Page 1 of 1 [2 Posts] View previous topic :: View next topic
The time now is Tue Jun 27, 2017 10:41 am | All times are GMT
Forum index » Science and Technology » Math
Jump to:  

Similar Topics
Topic Author Forum Replies Last Post
No new posts Sum of radical ideals cliomseerg@kriocoucke.mai Math 3 Fri Jul 21, 2006 10:08 am
No new posts MathWorld article "Sophie Germain prime" Nameless Math 8 Sun Jul 16, 2006 3:01 pm
No new posts *unique* prime factorizations; the fundamental theorem of... DGoncz@aol.com Math 5 Sun Jul 16, 2006 9:53 am
No new posts Prime numbers Colin11 Math 11 Wed Jul 12, 2006 8:14 pm
No new posts My prime research. doctormungmung@gmail.com1 Recreational 16 Thu Jul 06, 2006 6:10 pm

Copyright © 2004-2005 DeniX Solutions SRL
Other DeniX Solutions sites: Electronics forum |  Medicine forum |  Unix/Linux blog |  Unix/Linux documentation |  Unix/Linux forums  |  send newsletters
 


Powered by phpBB © 2001, 2005 phpBB Group
[ Time: 0.1028s ][ Queries: 16 (0.0879s) ][ GZIP on - Debug on ]