Complete Intersection Flat Dimension and the Intersection Theorem

被引：1
|
作者：
Sahandi, Parviz [2 ,3 ]
Sharif, Tirdad [2 ]
Yassemi, Siamak [1 ]
机构：
[1] Univ Tehran, Dept Math, Tehran, Iran
[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran
[3] Univ Tabriz, Dept Math, Tabriz, Iran
来源：
ALGEBRA COLLOQUIUM | 2012年 / 19卷
关键词：
flat dimension; complete intersection dimension; restricted flat dimension; Auslander category; intersection theorem; HOMOLOGICAL DIMENSIONS;
D O I：
10.1142/S1005386712000934
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Any finitely generated module M over a local ring R is endowed with a complete intersection dimension CI-dim(R) M and a Gorenstein dimension G-dim(R) M. The Gorenstein dimension can be extended to all modules over the ring R. This paper presents a similar extension for the complete intersection dimension, and mentions the relation between this dimension and the Gorenstein flat dimension. In addition, we show that in the intersection theorem, the flat dimension can be replaced by the complete intersection flat dimension.
引用
收藏
页码：1161 / 1166
页数：6
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