Castelnuovo regularity and graded rings associated to an ideal

Johnston, Bernard; Katz, Daniel

doi:10.1090/S0002-9939-1995-1231300-1

Castelnuovo regularity and graded rings associated to an ideal
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by Bernard Johnston and Daniel Katz PDF

Proc. Amer. Math. Soc. 123 (1995), 727-734 Request permission

Abstract:

We compare the Castelnuovo regularity defined with respect to different homogeneous ideals in a graded ring and use the result we obtain to prove a generalized Goto-Shimoda theorem for ideals of positive height in a Cohen-Macaulay local ring.

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