Local Homology, Cohen–Macaulayness and Cohen–Macaulayfications
نویسندگان
چکیده
منابع مشابه
Generalized Local Homology Modules of Complexes
The theory of local homology modules was initiated by Matlis in 1974. It is a dual version of the theory of local cohomology modules. Mohammadi and Divaani-Aazar (2012) studied the connection between local homology and Gorenstein flat modules by using Gorenstein flat resolutions. In this paper, we introduce generalized local homology modules for complexes and we give several ways for computing ...
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Let $R$ be a commutative Noetherian ring, $fa$ anideal of $R$ and $mathcal{D}(R)$ denote the derived category of$R$-modules. For any homologically bounded complex $X$, we conjecture that$sup {bf L}Lambda^{fa}(X)leq$ mag$_RX$. We prove thisin several cases. This generalize the main result of Hatamkhani and Divaani-Aazar cite{HD} for complexes.
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ژورنال
عنوان ژورنال: Algebra Colloquium
سال: 2008
ISSN: 1005-3867,0219-1733
DOI: 10.1142/s1005386708000060