Noncommutative unique factorization domain

ID: noncommutative-unique-factorization-domain

A **noncommutative unique factorization domain (UFD)** is a generalization of the concept of a unique factorization domain in commutative algebra, extended to the realm of noncommutative algebra. In the context of commutative algebra, a unique factorization domain is an integral domain in which every non-zero non-unit element can be factored uniquely (up to order and units) into irreducible elements.

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