COHEN-MACAULAY FLAT DIMENSION AND LOCAL HOMOLOGY MODULES

被引：0

作者：

Mashhad, F. M. A. ^{[1
]}

机构：

[1] Islamic Azad Univ, Parand Branch, Tehran, Iran

来源：

ACTA MATHEMATICA UNIVERSITATIS COMENIANAE | 2019年 / 88卷 / 01期

关键词：

Cohen-Macaulay flat dimension; generalized local homology modules; Gorenstein flat dimension; Gorenstein flat module; semi-dualizing module;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let a be an ideal of a commutative Noetherian ring R, M a finitely generated R-module with finite flat dimension, and N an arbitrary R-module with finite Cohen-Macaulay flat dimension. We prove that the generalized local homology module H-i(a) (M,N) = 0 for each i larger than the Cohen-Macaulay flat dimension of N. As an application, we present a characterization for regularity of local rings having dualizing modules.

引用

页码：77 / 86

页数：10

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