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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Castelnuovo regularity and graded rings associated to an ideal


Authors: Bernard Johnston and Daniel Katz
Journal: Proc. Amer. Math. Soc. 123 (1995), 727-734
MSC: Primary 13A30; Secondary 13D45, 13H10
MathSciNet review: 1231300
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1231300-1
PII: S 0002-9939(1995)1231300-1
Article copyright: © Copyright 1995 American Mathematical Society