If is an integral domain and , show if then where is a unit.
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Originally Posted by chiph588@ If is an integral domain and , show if then where is a unit. Since it means . Thus, so are associates and so .
Originally Posted by chiph588@ If is an integral domain and , show if then where is a unit. to see why we need R to be an integral domain: if then and so in this case choose so we may assume that now we have so for some similarly for some thus hence since is an integral domain and we must have i.e. so is a unit and we choose
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