Indecomposable polynomials and their spectrum

We address some questions concerning indecomposable polynomials and their spectrum. How does the spectrum behave via reduction or specialization, or via a more general ring morphism? Are the indecomposability properties equivalent over a field and over its algebraic closure? How many polynomials are...

Ausführliche Beschreibung

Gespeichert in:

Bibliographische Detailangaben
Veröffentlicht in:	arXiv.org 2008-11
Hauptverfasser:	Bodin, Arnaud, Dèbes, Pierre, Salah Najib
Format:	Artikel
Sprache:	eng
Schlagworte:	Fields (mathematics) Mathematics - Algebraic Geometry Mathematics - Commutative Algebra Mathematics - Number Theory Polynomials
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!

Beschreibung
Zusammenfassung:	We address some questions concerning indecomposable polynomials and their spectrum. How does the spectrum behave via reduction or specialization, or via a more general ring morphism? Are the indecomposability properties equivalent over a field and over its algebraic closure? How many polynomials are decomposable over a finite field?
ISSN:	2331-8422
DOI:	10.48550/arxiv.0811.4029