Symbolic Powers of a Prime Ideal

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Authors

  • R. C. Cowsik
     Tata Institute of Fundamental Research, Bombay 400 005 ,IN

Abstract

Let A be a regular ring (for example, the polynominal ring in a finite number of indeterminates over a field). Let P be a prime ideal in A. In [1] Hochster raises the question whether it is possible to give conditions on A/P (for example, A/P Gorenstein) which imply that the powers of P are P-primary, (i.e. Pn = P(n) for all n).

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Published

1975-12-01

How to Cite

Cowsik, R. C. (1975). Symbolic Powers of a Prime Ideal. The Journal of the Indian Mathematical Society, 39(1-4), 325–327. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/16660

Issue

Volume 39, Issue 1-4, March-December 1975

Section

Articles

License

Copyright (c) 1975 R. C. Cowsik

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

HOCHSTER. M. Criteria for equality of ordinary and symbolic powers of primes. Math. Z. 133, (1973) 53-65.

SCHEZA, G. t)ber die Bettizahlen lokaler Ringe. Math. Annalen 155, (1964) 155-172.