On a certain transitivity of the graded ring associated with an ideal-Reference-Cited by-同舟云学术

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

Published:1982 Issue:4 Volume:85 Page:489-495
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Trung Ngô Viêt

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1982-085-04/S0002-9939-1982-0660588-1/S0002-9939-1982-0660588-1.pdf

Reference10 articles.

1. Bemerkungen über normale Flachheit und normale Torsionsfreiheit und Anwendungen;Achilles, R.;Period. Math. Hungar.,1981

2. Determinantal varieties, monomial semigroups, and algebras associated with ideals;Barshay, Jacob;Proc. Amer. Math. Soc.,1973

3. On the fibres of blowing up;Cowsik, R. C.;J. Indian Math. Soc. (N.S.),1976

4. Criteria for equality of ordinary and symbolic powers of primes;Hochster, Melvin;Math. Z.,1973

5. Five theorems on Macaulay rings;Hochster, M.;Pacific J. Math.,1973

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