Generators of central simplep-algebras of degree 3

Generators of central simplep-algebras of degree 3

We discuss standard pairs of generators of cyclic divisionp-algebras of degreep, and prove forp=3 that any two Artin-Schreier elements are connected by a chain of standard pairs. This result has immediate applications to the presentations of such algebras.

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Israel journal of mathematics 2002-12, Vol.129 (1), p.175-187
1. Verfasser: Vishne, Uzi
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Generators
Mathematics
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:We discuss standard pairs of generators of cyclic divisionp-algebras of degreep, and prove forp=3 that any two Artin-Schreier elements are connected by a chain of standard pairs. This result has immediate applications to the presentations of such algebras.
ISSN:0021-2172
1565-8511
DOI:10.1007/BF02773162