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相关于遗传挠理论的(Inco)投射模(英文)

(Inco) Projective Modules of Relatively Hereditary Torsion Theroy

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【作者】 张力宏辛大伟

【Author】 ZHANG Li-hong, XIN Da-wei (College of Mathematics, Jilin Normal University, Siping 136000, China )

【机构】 College of Mathematics, Jilin Normal University

【摘要】 In the paper, we define(inco) project modules of relatively hereditary torsion theory τ by intersection complement of module and study their properties; secondly, we define the(inco) τ-semisimple ring by(inco) τ-projective module and study their properties. When τ is a trivial torsion theory on R-mod, we prove that R is a semisimple ring if and only if R is a(inco) semisimple ring and satisfies(inco) condition.

【Abstract】 In the paper, we define(inco) project modules of relatively hereditary torsion theory τ by intersection complement of module and study their properties; secondly, we define the(inco) τ-semisimple ring by(inco) τ-projective module and study their properties. When τ is a trivial torsion theory on R-mod, we prove that R is a semisimple ring if and only if R is a(inco) semisimple ring and satisfies(inco) condition.

【基金】 Supported by the Science and Technology Develop Foundation of Jilin Science and Technology Department(20040506-3)
  • 【文献出处】 数学季刊 ,Chinese Quarterly Journal of Mathematics , 编辑部邮箱 ,2009年01期
  • 【分类号】O153.3
  • 【被引频次】1
  • 【下载频次】23
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