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Unique factorization domain

 Home Mathematics Fields of mathematics Algebra Elementary algebra Factorization
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A Unique Factorization Domain (UFD) is a specific type of integral domain in abstract algebra that has properties relating to the factorization of its elements. Specifically, a UFD is defined as an integral domain in which every nonzero element that is not a unit can be factored into irreducible elements (often called prime elements) in a way that is unique up to order and unit factors.

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