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September 30th, 2013, 01:33 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, 04:35 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 

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