N-gons.

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This book, a translation of the German volume€ n-Ecke, presents an elegant geometric theory which, starting from quite elementary geometrical observations, exhibits an interesting connection between geometry and fundamental ideas of modern algebra.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Bachmann, Friedrich
Otros Autores: Schmidt, Eckart, Garner, Cyril W. L.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Toronto : University of Toronto Press, 1975.
Colección:Heritage.
Temas:
Polygons.
Set theory.
Polygones.
Théorie des ensembles.
polygons.
Polygons
Set theory
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 3 A special case of idempotent-transfer
  • 4 Ideals and divisibility in a principal ideal domain
  • 5 Residue class rings of principal ideal domains
  • 6 Residue class rings as sums of residue class rings
  • 8 Boolean algebras of the w-gonal theory I
  • 1 The Boolean algebras L₁-L₅
  • 2 Divisors of x[sup(n)]
  • 1 and cyclic classes
  • 3 Spectrum
  • 4 Examples of defining cyclic classes by divisors of xⁿ -1
  • 9 Boolean algebras of the n-gonal theory II
  • 1 Galois correspondence of annihilators and kernels
  • 2 Ideal-transfer
  • 3 Second proof of the main theorem: Main diagram
  • 4 Graduation: Degree of freedom of a cyclic class
  • 5 Miscellaneous exercises
  • PART IV: Atomic decompositions
  • 10 Rational components of an n-gon
  • 1 Q-regular n-gons
  • 2 Cyclic classes defined by cyclotomic polynomials
  • 3 Rational components of an n-gon
  • 4 The Boolean algebra generated by omitting averaging projections and its atoms
  • 5 Construction of the rational components of an n-gon
  • 11 Complex components of an n-gon
  • 1 w-n-gons, regular n-gons
  • 2 The case of the complex field
  • 3 Complex components of an n-gon
  • 12 The real components of an n-gon
  • 1 Anticyclic cyclic classes
  • 2 A special type of cyclic systems of equations
  • 3 Affinely regular n-gons
  • 4 Three extreme cases for the Boolean algebra of cyclic n-gonal classes
  • 5 Real components of an n-gon
  • Appendices
  • 1 Lattices
  • 2 Cyclotomic polynomials
  • List of symbols and notations
  • Index
  • A
  • B
  • C
  • D
  • E
  • F
  • G
  • H
  • I
  • J
  • K
  • L
  • M
  • N
  • O
  • P
  • Q
  • R
  • S
  • T
  • V
  • W
  • X
  • Y
  • Z.

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