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http://dx.doi.org/10.4134/CKMS.2005.20.3.457

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)
Publication Information
Communications of the Korean Mathematical Society / v.20, no.3, 2005 , pp. 457-466 More about this Journal
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.
Keywords
prime radical; completely 2-primal ring; 2-primal ring;
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