Duality for a Cohen-Macaulay Local Ring

Let (R, ) 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 article, we show that one can indeed obtain similar results in the case R does not have a canonical module. Also, we give some characterizations of...

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Bibliographic Details
Published in:	Communications in algebra Vol. 38; no. 6; pp. 2048 - 2063
Main Authors:	Ali Esmkhani, Mohammad, Tousi, Massoud
Format:	Journal Article
Language:	English
Published:	Taylor & Francis Group 14-06-2010
Subjects:	Algebra Balanced big Cohen-Macaulay module Canonical module Cohen-Macaulay local ring Complete module Cousin complex Mathematical analysis Modules Primary 13C14, 13J10 Secondary 13D05, 13C13
Online Access:	Get full text
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Summary:	Let (R, ) 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 article, we show that one can indeed obtain similar results in the case R does not have a canonical module. Also, we give some characterizations of complete big Cohen-Macaulay modules of finite injective dimension, and by using them, some characterizations of Gorenstein modules over the -adic completion of R are obtained.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	0092-7872 1532-4125
DOI:	10.1080/00927870903017495