Let R be a domain of greatest common divisor. Recall that the notation (x, y) is...

 

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Let R be a domain of greatest common divisor. Recall that the notation (x, y) is used to represent a greatest common divisor of the elements x, y. Let a, b, c E R. Prove that: (a, (b, c)) = ((a, b), c). Let R be a domain of greatest common divisor. Recall that the notation (x, y) is used to represent a greatest common divisor of the elements x, y. Let a, b, c E R. Prove that: (a, (b, c)) = ((a, b), c).