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December 9th, 2009, 06:04 AM   #1
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Ideal

Let A and B be ideals of a ring R. Prove that

(a) is an ideal of R
(b) is an ideal of R
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December 9th, 2009, 06:25 AM   #2
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Re: Ideal

Check what happens if you multiply r (an arbitrary ring element) by an element of or an element of A+B.
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December 12th, 2009, 06:46 AM   #3
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Re: Ideal

Ok for part a) i need to show using and .

Proof: let and , . How do i go form here to show that and ?
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December 12th, 2009, 01:11 PM   #4
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Re: Ideal

Quote:
Originally Posted by HairOnABiscuit
How do i go form here to show that and ?
remember A and B are ideals of R.
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