A note on Gorenstein projective modules

被引：1
|
作者：
Wu, Dejun [1 ]
机构：
[1] Lanzhou Univ Technol, Dept Appl Math, Lanzhou 730050, Gansu, Peoples R China
来源：
COMMUNICATIONS IN ALGEBRA | 2018年 / 46卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Cover; envelope; Gorenstein projective module; FLAT COVERS; DIMENSIONS;
D O I：
10.1080/00927872.2017.1344687
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note, it is proven that if R is a right noetherian ring with id(R)o R < infinity and ExtR(i >= 1) (M, F) = 0 for any left R-module F with finite flat dimension, then M is Gorenstein projective; if R is a left noetherian ring with id(R)R < infinity and M is a Gorenstein projective left R-module, then ExtR(i >= 1), (M, F) = 0 for any left R-module F with finite flat dimension.
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页码：1300 / 1303
页数：4
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