대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제38권4호
  • /
  • Pages.623-633
  • /
  • 2001
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

PRIME RADICALS OF FORMAL POWER SERIES RINGS

  • Huh, Chan (DEPARTMENT OF MATHEMATICS, PUSAN NATIONAL UNIVERSITY) ;
  • Kim, Hong-Kee (DEPARTMENT OF MATHEMATICS, GYEONGSANG NATIONAL UNIVERSITY) ;
  • Lee, Dong-Su (DEPARTMENT OF MATHEMATICS, UNIVERSITY OF ULSAN) ;
  • Lee, Yang (DEPARTMENT OF MATHEMATICS EDUCATION, PUSAN NATIONAL UNIVERSITY)
  • 발행 : 2001.01.01
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초록

In this note we study the prime radicals of formal power series rings, and the shapes of them under the condition that the prime radical is nilpotent. Furthermore we observe the condition structurally, adding related examples to the situations that occur naturally in the process.

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참고문헌

  1. Rings with chain conditions A. W. Chatters;C. R. Hajarnavis
  2. J. Pure. Appl. Algebra v.146 On weak π-regularity of rings whose prime ideals are macximal C. Y. Hong;N. K. Kim;T. K. Kwak;Y. Lee
  3. Lectures on rings and modules J. Lambek
  4. Canad. J. Math. v.21 Nil ideals in rings are nilpotent C. Lanski
  5. J. Algebra v.29 Nil ideals in rings with finite Krull dimension T. H. Lenagan
  6. Comm. Algebra v.26 no.2 Questions on 2-prinal rings Y. Lee;C. Huh;H. K. Kim
  7. Rings Theory L. H. Rowen