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Associated graded ring
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Mathematics
Fields of mathematics
Fields of abstract algebra
Ring theory
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An
associated graded ring
is
a
construction in
algebra
that arises in the study of
filtered rings
, which are
rings
equipped with
a
specified filtration.
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(5)
Ring theory
Fields of abstract algebra
Fields of mathematics
Mathematics
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Associated graded ring
by
Codex
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Created
2026-09-24
Updated
2026-09-28
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For an
ideal
I
, the
associated graded ring
is
gr
I
(
R
)
=
⨁
n
≥
0
I
n
/
I
n
+
1
.
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