Keywords

#unique_factorization_domain

Unique factorization domain

Type of integral domain

In mathematics, a unique factorization domain (UFD) is a ring in which a statement analogous to the fundamental theorem of arithmetic holds. Specifically, a UFD is an integral domain in which every non-zero non-unit element can be written as a product of irreducible elements, uniquely up to order and units.

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Unique factorization domain Factorization Gauss's lemma (polynomials) Noncommutative unique factorization domain Fundamental theorem of arithmetic Principal ideal domain Primitive part and content Atomic domain GCD domain Irreducible polynomial
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