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Additional
noetherian ring
English Wikipedia - The Free Encyclopedia
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Noetherian ring
In
mathematics
, more specifically in the area of
abstract algebra
known as
ring theory
, a
Noetherian ring
is a
ring
that satisfies the
ascending chain condition
on
ideals
; that is, given any
chain
of ideals:
there exists an
n
such that:
There are other equivalent formulations of the definition of a Noetherian ring and these are outlined later in the article.
See more at Wikipedia.org...
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