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

Trung, Ngô Viêt

doi:10.1090/S0002-9939-1982-0660588-1

On a certain transitivity of the graded ring associated with an ideal
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Proc. Amer. Math. Soc. 85 (1982), 489-495 Request permission

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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Der graduierte Ring bezüglich des Primideals von Macaulay

Ngô Viêt Trung, A class of imperfect prime ideals having the equality of ordinary and symbolic powers, J. Math. Kyoto Univ. 21 (1981), no. 2, 239–250. MR 625607