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Q40Section II (Mathematics)40 of 180

Algebra — subrings of UFDs and gcds

Consider the statements: I: A subring of a unique factorization domain is a unique factorization domain. II: Let R be a unique factorization domain and d=gcd⁡(a,b)d=\gcd(a,b) for a,b∈Ra,b\in R. Then (d)=(a)+(b)(d)=(a)+(b). Which is correct?

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