Graded Gorenstein Rings
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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.Downloads
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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.co.in/index.php/jims/article/view/16661
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Copyright (c) 1975 R. C. Cowsik
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.