P-adic approximation of algebraic integers and residue class rings of rings of integer-valued polynomials
Abstract
Let F:K be a Galois extension of number fields and Q a prime ideal of OF lying over the prime P of OK. By analyzing the Q-adic closure of OK in OF we characterize those rings of integers OK for which every residue class ring of Int(OK) modulo a non-zero prime ideal is GE2 (meaning that every unimodular pair can be trasformed to (1,0) by a series of elementary transformations).
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.