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September 30th, 2013, 02:33 AM   #1
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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.
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September 30th, 2013, 05:35 AM   #2
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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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