![]() |
|
Abstract Algebra Abstract Algebra Math Forum |
![]() |
| LinkBack | Thread Tools | Display Modes |
September 30th, 2013, 02:33 AM | #1 |
Newbie Joined: Sep 2013 Posts: 2 Thanks: 0 | relation between ideals and ideals generated by sets...
Hi. I'd like to have some help in the trial of prooving the next properties for a homomorphism f: A ----> B of rings where I and J are ideals of A and B repectively. i) I is contained in the inverse (f^-1) of the ideal generated by f(I) ii) the ideal generated by (f^-1)(J) is contained in J Thank you very much for any help. ![]() |
![]() |
September 30th, 2013, 05:35 AM | #2 |
Newbie Joined: Sep 2013 Posts: 2 Thanks: 0 | Re: relation between ideals and ideals generated by sets...
[quote="Lolyta" ii) the ideal generated by (f^-1)(J) is contained in J )[/quote] Sorry, I meant the ideal generated by f((f^-1)(J)) is contained in J |
![]() |
![]() |
|
Tags |
generated, ideals, relation, sets |
Thread Tools | |
Display Modes | |
|
![]() | ||||
Thread | Thread Starter | Forum | Replies | Last Post |
Ideals | chappyform | Abstract Algebra | 1 | March 11th, 2013 06:05 AM |
Ideals | tiger4 | Abstract Algebra | 1 | April 21st, 2012 10:27 AM |
Ideals | cknapp | Abstract Algebra | 1 | October 17th, 2009 10:15 PM |
Ideals.... | TTB3 | Abstract Algebra | 0 | April 16th, 2009 01:39 PM |
Operations on Ideals.... | TTB3 | Abstract Algebra | 3 | January 31st, 2009 05:40 AM |