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Let [a,b] be the ideal generated by a and b.

If R is a commutative ring with unity, let a be in R and m,n be natural numbers.

Show that [ (a^m)-1, (a^n)-1 ] = [ (a^gcd(m,n)) -1 ]

Seems simple but I am having trouble with it. Thanks in advance!

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# Finitely generated ideals

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