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Unique factorization domain

integral domain where every nonzero element is uniquely expressible as a product of prime elements

Pronunciation
/juːˈniːk faktərʌɪˈzeɪʃən dəʊˈmeɪn/
/juˈnik ˌfæktəˌraɪˈzeɪʃən doʊˈmeɪn/