On the primitive roots of residue field of algebraic number field

• Main Author: Dela Cruz, Harris R.
• Format: text
• Published: Animo Repository 2016
• Subjects: Algebraic fields; Algebraic number theory; Rings of integers; Mathematics
• Online Access: https://animorepository.dlsu.edu.ph/faculty_research/6284
• Institution: De La Salle University

Let K denote an algebraic number field and OK its ring of integers. For an ideal U of OK, an elementg ε OK is said to be primitive root modulo U provided the residue class g + U generates the multiplicative group (OK + U)x. In this paper we wish to determine conditions when an ideal of OK possesse...