Gorenstein flatness and injectivity over Gorenstein rings

来源 :中国科学：数学英文版 | 被引量 : 0次 | 上传用户：aujnqejbrob

【摘要】

：

Let R be a Gorenstein ring.We prove that if I is an ideal of R such that R/I is a semi-simple ring,then the Gorenstein flat dimension of R/I as a right R-module

【作者】

：

WeiLing Song (1) ZhaoYong H

【机构】

：

1.DepartmentofMathematics

【出处】

：

中国科学：数学英文版

【发表日期】

：

2008年2期

【关键词】

：

GORENSTEIN FLAT GORENSTEIN INJECTIVE GORENSTEIN RINGS Gorenstein flat Gorenstein

【基金项目】

：

the Specialized Research Fund for the Doctoral Program of Higher Education (Grant No.20060284002),the National Natural Science Foundation of China (Grant No.10771095),the Natural Science Foundation of

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Let R be a Gorenstein ring.We prove that if I is an ideal of R such that R/I is a semi-simple ring,then the Gorenstein flat dimension of R/I as a right R-module and the Gorenstein injective dimension of R/I as a left R-module are identical.In addition,we

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Gorenstein flatness and injectivity over Gorenstein rings

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