1990•Communications in AlgebraRequires access
Global dimension and regularity of rees rings for non-zariskian filtrations
Huishi Li, Michel Van den Bergh, Fred Van Oystaeyen
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Abstract
If x is a central regular element of the Noetherian ring A such that A/xA has finite global dimension then gldimA=max{1+gldimA/xA,gldim Ax} and we apply this to filtered rings. We study the regularity of the Rees ring when both the filtered and the associated graded ring are regular rings.