Korean Journal of Mathematics

  • 제18권1호
  • /
  • Pages.97-103
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  • 2010
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  • 1976-8605(pISSN)
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  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
권호 표지

THE STRUCTURE OF THE RADICAL OF THE NON SEMISIMPLE GROUP RINGS

  • Yoo, Won Sok (Department of Applied Mathematics Kum-oh National Institute of Technology)
  • 투고 : 2010.02.14
  • 심사 : 2010.03.10
  • 발행 : 2010.03.01
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초록

It is well known that the group ring K[G] has the nontrivial Jacobson radical if K is a field of characteristic p and G is a finite group of which order is divided by a prime p. This paper is concerned with the structure of the Jacobson radical of such a group ring.

키워드

과제정보

연구 과제 주관 기관 : Kumoh National Institute of Technology

참고문헌

  1. C.W. Curtis and I. Reiner, Representation theory of finite groups and associate algebras, Wiley, New York, 2001.
  2. N. Jacobson, Structure of rings, Amer. Math. Soc. Colloq. Publ., 1984.
  3. G. Karpilovsky, Dimensions of irreducible modules over twisted group algebra, Arch. Math. (basel) 45 (1985), 232-327. https://doi.org/10.1007/BF01275575
  4. F. Kasch, translated by D.A.R. Wallace, Modules and rings, London Mathematical Society Monograph, 1982.
  5. N.H. McCoy, Theory of rings, Macmillan Company, New York, 1964.
  6. D.S. Passman, Radicals of twisted group rings, London Math. Soc. 21 (1970), 409-437.
  7. T.Y. Lam, Lectures on modules and rings, Springer-Verlag, New York, 1999.
  8. M. Suzuki, Group theory I, II, Springer-Verlag, New York, 1981, 1986.
  9. F.A. Szasz, Radicals of rings, Wiley, New York, 1981.