The periodicity in the graded ring associated with an integral group ring

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The canonical module of an associated graded ring

Theorem. Let R be a Cohen-Macaulay ring (locally, always) 1 c R an ideal o f height at least 2, S the Rees ring of R with respect to I, and G = S /S I the associated graded ring. Assume that S and G are Cohen-Macaulay rings, and that S has a canonical module cos. Then G has a canonical module r and: (i) I f co s can be embedded into S such that cos (considered as an ideal now) is not contained ...

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ژورنال

عنوان ژورنال: Journal of Pure and Applied Algebra

سال: 1974

ISSN: 0022-4049

DOI: 10.1016/0022-4049(74)90036-x