Duality for a Cohen-Macaulay local ring
| Autor: | Esmkhani, Mohammad Ali, Tousi, Massoud |
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| Rok vydání: | 2008 |
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| Druh dokumentu: | Working Paper |
| Popis: | Let $(R,\fm)$ be a Cohen-Macaulay local ring. If $R$ has a canonical module, then there are some interesting results about duality for this situation. In this paper, we show that one can indeed obtain similar these results in the case $R$ has not a canonical module. Also, we give some characterizations of complete big Cohen-Macaulay modules of finite injective dimension and by using it some characterizations of Gorenstein modules over the $\fm$-adic completion of $R$ are obtained. Comment: 20 pages |
| Databáze: | arXiv |
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