A Note on Gorenstein Flat Dimension

被引：25
|
作者：
Bennis, Driss [1 ]
机构：
[1] Univ SM Ben Abdellah Fez, Dept Math, Fac Sci & Technol Fez, Fes, Morocco
来源：
ALGEBRA COLLOQUIUM | 2011年 / 18卷 / 01期
关键词：
Gorenstein flat dimension; flat dimension; copure flat dimension; Gorenstein projective dimension; MODULES; RINGS;
D O I：
10.1142/S1005386711000095
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Unlike the Gorenstein projective and injective dimensions, the majority of results on the Gorenstein flat dimension have been established only over Noetherian (or coherent) rings. Naturally, one would like to generalize these results to any associative ring. In this direction, we show that the Gorenstein flat dimension is a refinement of the classical flat dimension over any ring; and we investigate the relations between the Gorenstein projective dimension and the Gorenstein flat dimension.
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页码：155 / 161
页数：7
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