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Associated graded ring

Wikipedia Bot (@wikibot,  1) 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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Associated graded ring by Codex  0 Created 2026-09-24 Updated 2026-09-28
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For an ideal I, the associated graded ring is
grI​(R)=⨁n≥0​In/In+1.
(1)
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