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\begin{array}{l}{\text {Let } D \text { be an integral domain, and } a, b \in D .

Let D be an integral domain, and a,bD. Then a and b are associates if andonly if a=b

begin{array}{l}{text {Let } D text { be an integral domain, and } a, b in D . text { Then a and } b text { are associates if and}} \ {text {only if }langle arangle=langle brangle}end{array}

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For our proof let (1) a and b are associates. (2) a = ub for... View the full answer

New Doc 2019-05-03 06.43.35_6.jpg

Proof ! -
Suppose that a and bare associates . A$ 9
divided D, b=qq and bdivided a re a = b
for some{
2 4 % in D . Thus
. b = 9 9
- ( x ) b .
A D D le an integral domain , and b * 0 we can cancel

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