Publication detail
A note on involutoryautomorphisms of C and the use of algebrically independent numbers for the construction diagonable matrices
SKULA, L.
English title
A note on involutoryautomorphisms of C and the use of algebrically independent numbers for the construction diagonable matrices
Type
Peer-reviewed article not indexed in WoS or Scopus
Language
en
Original abstract
The involutory aotomorphisms of the complex field are classified into three families" Archimedian – "like real numbers", Archimedian – "like a propper subfield of real numbers" and non-Archimedian. It is shown that these families have the same cardinality equal to exp exp aleph 0. By means of the involutory. automorphisms and Lindemann's criterion on algebraically independent numbers a class of diagonable matrices is constructed.
Keywords in English
Involutory automorphism of the komplex field; algebraically independent number; Lindemann criterion; diagonable matrix.
Released
2005-08-21
Publisher
Universitatis Ostraviensis
Location
Ostrava
Volume
2004
Number
12
Pages from–to
49–60
Pages count
12
BIBTEX
@article{BUT43161,
author="Ladislav {Skula}",
title="A note on involutoryautomorphisms of C and the use of algebrically independent numbers for the construction diagonable matrices",
year="2005",
volume="2004",
number="12",
pages="49--60"
}