Graded Gorenstein Rings

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Authors

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

Abstract

Hochster-Ratliff ([1] Proposition 4.10) have proved the same theorem without the projectivity condition. Here we prove that if A is Gorenstein at all maximal ideals containing M then A is Gorenstein.

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Published

1975-12-01

How to Cite

Cowsik, R. C. (1975). Graded Gorenstein Rings. The Journal of the Indian Mathematical Society, 39(1-4), 329–330. Retrieved from https://informaticsjournals.com/index.php/jims/article/view/16661

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

M. HOCHSTER AND L. J. RATLIFF, Jr., Fine theorems on Cohen-Macaulay rings Pacific J. Math. V 44 (1973) 147-172.

M. NAGATA, Some questions on Cohen-Macaulay rings. J. Math. Kyoto University 13(1973) 123-128.

K. WATANABE, Certain Invariant subrings are Gorenstein, Preprint.