蔡传仁,方洪锦.分次环的Smash积A#G*与单位分量Ae理想间的对应[J].数学研究及应用,2000,20(2):271~276
分次环的Smash积A#G*与单位分量Ae理想间的对应
Correspondence between Ideals of A#G* and Indeals of Ae for Graded Ring A
  
DOI:10.3770/j.issn:1000-341X.2000.02.025
中文关键词:  群分次环  Smash积  理想.
英文关键词:
基金项目:国家自然科学基金(19971073)资助项目
作者单位
蔡传仁 扬州大学理学院 
方洪锦 扬州大学理学院 
摘要点击次数: 2143
全文下载次数: 882
中文摘要:
      本文对任意群G上的任意分次环A,建立了Smash积A#G*和单位分量Ae理想间的对应关系,并运用所建立的对应关系研究分次环的Smash积A#G*和Ae的半素性,素性和单性.
英文摘要:
      M. Cohen and S. Montgomery built the corresponding relations between ideals of the smash product A#G* and ideals of the identity component Ae for a ring A graded by a finite group G. It is goal of this paper to give the corresponding relations for any group-graded ring, and to apply it to investigate the semisimplicity primeness and primitiveness of the smash product A#G* and Ae for a graded ring A.
查看全文  查看/发表评论  下载PDF阅读器