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RINGS WHOSE PRIME RADICALS ARE COMPLETELY PRIME

  • KANG, KWANG-HO (Department of Mathematics Busan Science Academy) ;
  • KIM, BYUNG-OK (Department of Mathematics Busan Science Academy) ;
  • NAM, SANG-JIG (Department of Mathematics Busan National University High School) ;
  • SOHN, SU-HO (Department of Mathematics Busan Gukje High School)
  • Published : 2005.07.01

Abstract

We study in this note rings whose prime radicals are completely prime. We obtain equivalent conditions to the complete 2-primal-ness and observe properties of completely 2-primal rings, finding examples and counterexamples to the situations that occur naturally in the process.

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