Conditions for a Graded Ring A、Aｅ and Smash Product A#G* to be Subdirectly Irreducible Rings
Received:December 24, 1993  
Key Words: subdirectly irreducible ring   graded nondegerate   smash product.  
Fund Project:
Author NameAffiliation
Wei Junchao Engineering College
Yanzhou University 
Chen Jianhua Teacher′s College
Yangzhou University 
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Abstract:
      This paper deals with some retative properties of A and smash product A#G*; when A is graded faithful, A#G* is subdirectly irreducible ring if and only if Aｅ is also. When A is Graded nondegenerate, A#G* is G subdirectly irreducible ring if and only if A is Graded subdirectly irreducible ring.
Citation:
DOI:10.3770/j.issn:1000-341X.1996.03.025
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