Korean Journal of Mathematics

  • 제17권1호
  • /
  • Pages.43-52
  • /
  • 2009
  • /
  • 1976-8605(pISSN)
  • /
  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
권호 표지

REMARKS ON GAUSS SUMS OVER GALOIS RINGS

  • Kwon, Tae Ryong (Department of Mathematics Inha University) ;
  • Yoo, Won Sok (Department of Applied Mathematics Kum-oh National Institute of Technology)
  • 투고 : 2009.01.18
  • 발행 : 2009.03.30
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초록

The Galois ring is a finite extension of the ring of integers modulo a prime power. We consider characters on Galois rings. In analogy with finite fields, we investigate complete Gauss sums over Galois rings. In particular, we analyze [1, Proposition 3] and give some lemmas related to [1, Proposition 3].

키워드

과제정보

연구 과제 주관 기관 : Kumoh National Institute of Technology

참고문헌

  1. P. Langevin and P. Sole, Gauss sums over quasi-Frobenius rings, Finite Fields and Applications (Augsburg, 1999) (2001), 329-340.
  2. R. Lidl, H. Niederreiter and P. M. Cohn, Finite fields, Cambridge University Press, 1997.
  3. B. R. McDonald, Finite rings with identity, Marcel Dekker, New York, 1974.