On Galois polynomials with a cyclic Galois group in skew polynomial rings (Logic, Algebraic system, Language and Related Areas in Computer Science)

HANDLE Open Access
  • HONGOU, Katsunori
    Department of Integrated Science and Technology, National Institute of Technology, Tsuyama College
  • IKEGAMI, Kanaru
    Department of Integrated Science and Technology, National Institute of Technology, Tsuyama College
  • YAMANAKA, Satoshi
    Department of Integrated Science and Technology, National Institute of Technology, Tsuyama College

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Abstract

K. Kishimoto gave conditions for a polynomial of the form X[m]－a (resp. X[P]－X－a) in skew polynomial rings of automorphism type (resp. derivation type) to be a Galois polynomial. In this paper, we shall give conditions for quadratic polynomials of the form X²－a and X²－X－a in the general skew polynomial ring to be a Galois polynomial, respectively.

Journal

  • RIMS Kokyuroku

    RIMS Kokyuroku 2229 74-80, 2022-09

    京都大学数理解析研究所

Details 詳細情報について

  • CRID
    1050858441648055168
  • NII Book ID
    AN00061013
  • HANDLE
    2433/279746
  • ISSN
    18802818
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • IRDB

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