Correspondence between Ideals of A#G* and Indeals of Ae for Graded Ring A
  
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Author NameAffiliation
CAI Chuan-ren Dept. of Math.
Yangzhou University
Jiangsu 225002 
Fang Hong-jin Dept. of Math.
Yangzhou University
Jiangsu 225002 
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Abstract:
      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.
Citation:
DOI:10.3770/j.issn:1000-341X.2000.02.025
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