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Rings whose prime radicals are completely prime

Kwang-Ho Kang|Byung-Ok Kim|Sang-Jig Nam|Su-Ho Sohn
대한수학회 (The Korean Mathematical Society)|2005.07|대한수학회논문집 (Communications of the KMS)|제20권 제3호|pp. 457-466

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주제분류수학

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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,¯nding examples and counterexamples to the situations that occur naturally in the process.

참고문헌 (11)

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  2. "Radical ideals", 65, pp.537~568 (1943)
  3. "On the von Neumann regularity of rings with regular prime factor rings", pp.135~144 (1974)
  4. "Topics in Ring Theory The University of Chicago Press" (1965)
  5. "Some studies on strongly ？-regular rings", 20, pp.141~149 (1978)
  6. "On minimal strongly prime ideals", 28(10), pp.4867~4878 (2000)
  7. "Nilradicals of power series rings andnil power series rings"
  8. "Prime radicals of formal power seriesrings", 38(4), pp.623~633 (2001)
  9. "Rings of bounded index", 12(1), pp.9~21 (1984)
  10. "Questions on 2-primal rings", 26(2), pp.595~600 (1998)
  11. "Prime ideals and sheaf representation of a pseudo symmetric rings", 184, pp.43~60 (1973)

관련 논문AI추천

On weak $\Pi$-regularity and the simplicity of prime factor rings김진용, Hai Lan Jin대한수학회 · 대한수학회보2007 · 제44권 제1호On rings containing a p-injective maximal left idealJin Yong Kim, Nam Kyun Kim대한수학회 · 대한수학회논문집2003 · 제18권 제4호On the maximality of prime ideals in exchange ringsChan Yong Hong, Nam Kyun Kim, Tai Keun Kwak대한수학회 · 대한수학회논문집2002 · 제17권 제3호Prime Radicals of Skew Laurent Polynomial Rings한준철대한수학회 · 대한수학회보2005 · 제42권 제3호A generalization of the Jacobson radicalA. H. Yamini, A. R. Naghipour대한수학회 · 대한수학회보2004 · 제41권 제4호On $\Pi$-Armendariz Rings허찬, 류성주, 박광석, 이창익대한수학회 · 대한수학회보2007 · 제44권 제4호

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