作者
MT Dibaei, M Tousi
发表日期
1998/1
期刊
Journal of Mathematics of Kyoto University
卷号
38
期号
3
页码范围
503-516
出版商
Duke University Press
简介
Dualizing complexes were introduced by Grothendieck and Hartshorne in [7] for use in algebraic geometry and were studied afterwards by R. Y. Sharp and a number of authors, in a series of papers in commutative algebra. The aim of this paper is to discuss more thoroughly about dualizing complexes. After introductory section I, in section 2, we shall find out that dualizing complex of a ring is isomorphic to a Cousin complex of a certain module in certain cases. Cousin complexes were introduced in [7] and it has a commutative algebra analogous given by RY Sharp in [14]. Incidentally any Cousin complex of a finitely generated module is a complex of modules of generalized fractions; so that it makes each term and each morphism of dualizing complex more clarified (see 3.2). As a result, we generalize a result of H. Zakeri [24, 3.61 which shows that each indecomposable injective module over a Gorenstein ring is …
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MT Dibaei, M Tousi - Journal of Mathematics of Kyoto University, 1998