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In mathematics, the associated graded ring of a ring R with respect to a proper ideal I is the graded ring: . Similarly, if M is a left R-module, then the associated graded module is the graded module over : .

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  • In mathematics, the associated graded ring of a ring R with respect to a proper ideal I is the graded ring: . Similarly, if M is a left R-module, then the associated graded module is the graded module over : . (en)
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  • In mathematics, the associated graded ring of a ring R with respect to a proper ideal I is the graded ring: . Similarly, if M is a left R-module, then the associated graded module is the graded module over : . (en)
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  • Associated graded ring (en)
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