节点文献
相关于遗传挠理论的(Inco)投射模(英文)
(Inco) Projective Modules of Relatively Hereditary Torsion Theroy
【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.
【Key words】 Torsion theory τ; (inco) condition; τ-torsionfree module; (inco) τ-projective module; semisimple ring;
- 【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