Generalized fractions and Hughes' gradetheoretic analogue of the Cousin complex

Author:

Sharp R. Y.,Yassi M.

Abstract

Let A be a commutative Noetherian ring (with non-zero identity). The Cousin complex C(A) for A is described in [19, Section 2]: it is a complex of A-modules and A-homomorphismswith the property that, for each n ∈ N0 (we use N0 to denote the set of non-negative integers),Cohen–Macaulay rings can be characterized in terms of the Cousin complex: A is a Cohen–Macaulay ring if and only if C(A) is exact [19, (4.7)]. Also, the Cousin complex provides a natural minimal injective resolution for a Gorenstein ring (see [19,(5.4)]).

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Local cohomology and cohomology of certain generalized hughes complexes;Communications in Algebra;1998-01

2. A characterization of generalized Hughes complexes;Mathematical Proceedings of the Cambridge Philosophical Society;1996-07

3. Comparison of complexes of modules of generalized fractions and generalized Hughes complexes;Glasgow Mathematical Journal;1995-01

4. Complexes of Cousin type and modules of generalized fractions;Nagoya Mathematical Journal;1994-12

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