Johnston, BernardKatz, Daniel L.2015-03-032015-03-031995-03-01Johnston, Bernard & Katz, Daniel L. "Castelnuovo regularity and graded rings associated to an ideal." Proc. Amer. Math. Soc. 123 (1995), 727-734. http://dx.doi.org/10.1090/S0002-9939-1995-1231300-1.https://hdl.handle.net/1808/16923This is the published version, also available here: http://dx.doi.org/10.1090/S0002-9939-1995-1231300-1. First published in Proc. Amer. Math. Soc. in 1995, published by the American Mathematical Society.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.Article10.1090/S0002-9939-1995-1231300-1openAccess