The Journal of the Indian Mathematical Society

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Graded Gorenstein Rings


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1 Tata Institute of Fundamental Research, School of Mathematics, Colaba, Bombay 400 005, India
     

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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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  • Graded Gorenstein Rings

Abstract Views: 151  |  PDF Views: 0

Authors

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

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.