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Papers

Minimal degrees of algebraic numbers with respect to primitive elements

http://10.1142/S1793042122500282

  • Author박선우,박철민
  • JournalInternational Journal of Number Theory (1793-0421), 18, 485 ~ 500
  • Enrollment typeSCIE
  • publication date 20220401
Given a number field L, we define the degree of an algebraic number v ∈ L with respect to a choice of a primitive element of L. We propose the question of computing the minimal degrees of algebraic numbers in L, and examine these values in degree 4 Galois extensions over Q and triquadratic number fields.