bn:16645644n
Noun Concept
Categories: Ring theory
EN
associated graded ring  associated graded algebra  Associated graded group  Associated graded module
EN
In mathematics, the associated graded ring of a ring R with respect to a proper ideal I is the graded ring: gr I ⁡ R = ⊕ n = 0 ∞ I n / I n + 1 {\displaystyle \operatorname {gr} _{I}R=\oplus _{n=0}^{\infty }I^{n}/I^{n+1}}. Wikipedia
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EN
In mathematics, the associated graded ring of a ring R with respect to a proper ideal I is the graded ring: gr I ⁡ R = ⊕ n = 0 ∞ I n / I n + 1 {\displaystyle \operatorname {gr} _{I}R=\oplus _{n=0}^{\infty }I^{n}/I^{n+1}}. Wikipedia