RELATIVE NORMS, A CLASSROOM CAPSULE
Abstract
Let denote a relative extension of number fields and be the normal closure of in the complex numbers X . Assume that and let denote the distinct -morphisms of into . Let denote an ideal in the ring of integers . The relative norm of , denoted by , is the ideal in defined by In this paper, we show that , where denotes a prime in and denotes the residue class degree of over .
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Rings
Modules
and Algebras
Commutative Algebra and Its Applications
Publication details
- Journal / source
- Far East Journal of Mathematical Education
- Volume
- 28
- Issue
- 1
- Pages
- 39–44
- Publication date
- 10 January 2026