Homological Dimension of Finitely Generated Module Having Simple Module as Direct Factor

王明生

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Homological Dimension of Finitely Generated Module Having Simple Module as Direct Factor

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In Ref. [1], Yao demonstrates that the projective dimension of a simple module over a commutative Noetherian ring equals its injective dimension and characterizes the commutative ring possessing an injective simple module. In this note, we consider a similar problem and generalize the main result of Ref. [1].

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来源
《中国科学通报：英文版》 |1994年第18期|1503-1506|共4页
作者
王明生;
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作者单位

Department of Mathematics;

Beijing Normal University;

Beijing 100875;

PRC;

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原文格式 PDF
正文语种 chi
中图分类环论;
关键词
simple; module; projective; dimension; injective; dimension.;

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Homological Dimension of Finitely Generated Module Having Simple Module as Direct Factor

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