A note on involutory automorphisms of C and the use of algebraically independent numbers for the construction of diagonable matrices

Ladislav Skula

Acta Mathematica Universitatis Ostraviensis (2004)

  • Volume: 12, Issue: 1, page 49-60
  • ISSN: 1804-1388

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Skula, Ladislav. "A note on involutory automorphisms of $C$ and the use of algebraically independent numbers for the construction of diagonable matrices." Acta Mathematica Universitatis Ostraviensis 12.1 (2004): 49-60. <http://eudml.org/doc/23883>.

@article{Skula2004,
author = {Skula, Ladislav},
journal = {Acta Mathematica Universitatis Ostraviensis},
keywords = {cardinality; non-Archimedean involutory automorphisms; Archimedian involutory automorphisms; diagonizable matrices},
language = {eng},
number = {1},
pages = {49-60},
publisher = {University of Ostrava},
title = {A note on involutory automorphisms of $C$ and the use of algebraically independent numbers for the construction of diagonable matrices},
url = {http://eudml.org/doc/23883},
volume = {12},
year = {2004},
}

TY - JOUR
AU - Skula, Ladislav
TI - A note on involutory automorphisms of $C$ and the use of algebraically independent numbers for the construction of diagonable matrices
JO - Acta Mathematica Universitatis Ostraviensis
PY - 2004
PB - University of Ostrava
VL - 12
IS - 1
SP - 49
EP - 60
LA - eng
KW - cardinality; non-Archimedean involutory automorphisms; Archimedian involutory automorphisms; diagonizable matrices
UR - http://eudml.org/doc/23883
ER -

References

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  1. N. Bourbaki, Algèbre, Chap. IV-VI, Paris, 1952. (1952) 
  2. P. Bundschuh, A criterionfor algebraic independence with some applications, Osaka J. Math. 25 (1988), 849-858. (1988) MR0983806
  3. B. J. Davis, Circulant Matrices, New York, 1979. (1979) Zbl0418.15017
  4. L. Fuchs, Partially Ordered Algebraic Systems, Oxford-London-New York-Paris, 1963. (1963) Zbl0137.02001MR0171864
  5. W. K. Nicholson, Introduction to Abstract Algebra, Boston, 1993. (1993) Zbl0781.12001
  6. S. R. Searle, Matrix Algebra Useful for Statistics, New York, 1982. (1982) Zbl0555.62002MR0670947
  7. A. B. Shidlovskiy, Transcendentnye chisla, Moskva, 1987 (Russian). (1987) 
  8. L. Skula, Involutions for matrices and general inverses, Linear Algebra and its Appłications, 271 (1998), 283-308. (1998) MR1485173
  9. L. C. Washington, Introductгon to Cyclotomic Fields, Springer-Verlag, New York, Inc, 1982. (1982) MR0718674

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