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Additional
unique factorization
English Wikipedia - The Free Encyclopedia
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Unique factorization domain
In
mathematics
, a
unique factorization domain
(
UFD
) is a
commutative ring
, which is an
integral domain
, and in which every non-zero non-unit element can be written as a product of
prime elements
(or
irreducible elements
), uniquely up to order and units, analogous to the
fundamental theorem of arithmetic
for the
integers
. UFDs are sometimes called
factorial rings
, following the terminology of
Bourbaki
.
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