On the primitive roots of residue field of algebraic number field

Authors

Harris R. Dela Cruz

College

College of Science

Department/Unit

Mathematics and Statistics Department

Document Type

Archival Material/Manuscript

Publication Date

6-4-2016

Abstract

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

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Recommended Citation

Dela Cruz, H. R. (2016). On the primitive roots of residue field of algebraic number field. Retrieved from https://animorepository.dlsu.edu.ph/faculty_research/6284

Disciplines

Mathematics

Keywords

Algebraic fields; Algebraic number theory; Rings of integers

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