佟文廷.关于有限生成投射模为自由模的环[J].数学研究及应用,1989,9(3):319~323
关于有限生成投射模为自由模的环
Rings in which finitely generated projective modules are free
投稿时间:1987-08-31  
DOI:10.3770/j.issn:1000-341X.1989.03.001
中文关键词:  
英文关键词:
基金项目:国家自然科学基金资助项目.
作者单位
佟文廷 南京大学数学系 
摘要点击次数: 1986
全文下载次数: 990
中文摘要:
      若环R上一切有限生成投射模都是自由模,则称R为PF环,本文讨论了PF环的一些性质及其一些应用。
英文摘要:
      If R is a ring in which finitely generated projective R-modules are free R-modules, then R is called a PF ring. It is well known that the polynomial rings over an PID are the PF rings. In this paper we obtained some properties of the PF rings, and gave some applications on the PF rings.
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