Sudhanshu ranjan Asked a Question
August 15, 2020 1:12 ampts 30 pts
Are subdomains of an Unique factorization domain necessarily UFD?
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  • Anonymous User Best Answer
    For example, consider the field of complex numbers C. Since every field is an UFD, C is also UFD. However, Z[√-5] is an integral domain which is contained in C but is not an UFD.
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  • Anonymous User thankyou
    No, the subdomains of an UFD need not to be an UFD.
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  • Sudhanshu ranjan
    why? any examples
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