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

On a certain transitivity of the graded ring associated with an ideal


Author: Ngô Viêt Trung
Journal: Proc. Amer. Math. Soc. 85 (1982), 489-495
MSC: Primary 13A17; Secondary 13H10
MathSciNet review: 660588
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Abstract: A simple but useful result will be given concerning a certain transitivity of the property that the graded ring associated with an ideal is a domain. As a consequence, we compute the graded rings associated with the defining prime ideals of certain determinantal varieties or of their projections from infinity to a hyperplane and get two new classes of primes having the equality of ordinary and symbolic powers in polynomial rings over a field.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1982-0660588-1
PII: S 0002-9939(1982)0660588-1
Keywords: Ordinary and symbolic powers, graded ring associated with an ideal, Cohen-Macaulay ring, determinantal ideal, Veronesean variety, projection from infinity to a hyperplane
Article copyright: © Copyright 1982 American Mathematical Society