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Countable rings with ACC on annihilators

김홍기|Yasuyuki Hirano
대한수학회 (The Korean Mathematical Society)|2005.08|대한수학회보 (Bulletin of the KMS)|제42권 제3호|pp. 527-534

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Abstract

We consider countable rings with ascending chain con-dition on right annihilators. We determine the structure of a count-able right p-injective Baer ring, a countable semiprime quasi-Baerring and a countable quasi-Baer biregular ring.

참고문헌 (12)

  1. "On semiprime rings of bounded index", 85, pp.146~148 (1982)
  2. "Rings with countably many directsummands", 28, pp.757~769 (2000)
  3. "Rings with ascending condition on annihilators", 27, pp.179~191 (1966)
  4. "Noetherian PI-rings", 1, pp.79~86 (1974)
  5. "Quotient rings of semiprime rings with bounded index", 23, pp.53~64 (1982)
  6. "On nonsingular p-injective rings", 38, pp.455~461 (1994)
  7. "On some characteristic properties of quasi-Frobeni-us and regular rings", 5, pp.15~18 (1954)
  8. "Structure of Rings" (1964)
  9. "When is a regular ring a semisimple Artinian ring?", 45, pp.311~313 (1997)
  10. "The cardinality of the center of a PI-ring", 41, pp.81~85 (1998)
  11. "Regular and Baer rings", 42, pp.354~358 (1974)
  12. "Rings of Quotients" (1975), Springer-Verlag

관련 논문AI추천

ANNIHILATOR CONDITIONS ON RINGS AND NEAR-RINGS조용욱한국수학교육학회 · 이론수학과 교직수학2003 · 제10권 제3호On types of Noetherian local rings and modules이기석대한수학회 · 대한수학회지2007 · 제44권 제4호$\Pi$-coherent dimensions and $\Pi$-coherent ringsLixin Mao대한수학회 · 대한수학회지2007 · 제44권 제3호On Semicommutative Modules and RingsAbdullah Harmanci, Nazim Agayev경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제1호A Characterization of Right Artinian RingsA. GHORBANI경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제1호On weak $\Pi$-regularity and the simplicity of prime factor rings김진용, Hai Lan Jin대한수학회 · 대한수학회보2007 · 제44권 제1호

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