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Let R and D be two division rings, then we know that in general every ideal of RxD has the form IxJ where I is
Let R and D be two division rings, then we know that in general every ideal of RxD has the form IxJ where I is an ideal of R and J an ideal of D.
How to show that every left or right-ideal of RxD is principle?
I know the only ideals of R and D are the trivials since they are division rings, but they may include left or right-ideals
I appreciate any help
Thank you
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