Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2005; 20(3): 457-466

Printed September 1, 2005

Copyright © The Korean Mathematical Society.

rings whose prime radicals are completely prime

Kwang-Ho Kang, Byung-Ok Kim, Sang-Jig Nam, Su-Ho Sohn

Busan Science Academy, Busan Science Academy, Busan National University High School, Busan Gukje High School

Abstract

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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

MSC numbers: 16D25, 16N40

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