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Vietnam Journal of Mathematics 36:2(2008) 183-190

Primary Decomposition for Noncommutative Rings

Hossain Khabazian

Abstract.  A necessary condition for the existence of primary decomposition in noncommutative rings is investigated and its role is explored. Furthermore, the associated prime ideals are determined.

2000 Mathematics Subject Classification: 16D70, 16D25.

Keywords: Prime ideal, primary ideal, primary decomposition, prime right annihilator, annihilator ideal.

 

 

 

 

 

 

 

 

 

 

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