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unique factorization ring
English
Meaning
unique factorization ring
meaning
What does
unique factorization ring
mean?
unique factorization ring
noun
—
(
algebra
,
ring
theory
)
A
ring
in
which
every
non
-
zero
,
non
-
unit
(
i
.
e
.,
proper
)
element
can
be
factored
into
a
product
of
prime
elements
(
not
necessarily
distinct
),
such
that
such
factorization
is
unique
up
to
permutation
of
the
factors
and
the
replacing
of
primes
by
their
associate
primes
.
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