Boolean Constructions in Universal Algebras

1993
ISBN: 978-0-7923-2117-0
Verlag: Springer Netherlands

Buch, Englisch, 352 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 1520 g

Reihe: Mathematics and Its Applications

During the last few decades the ideas, methods, and results of the theory of Boolean algebras have played an increasing role in various branches of mathematics and cybernetics.
This monograph is devoted to the fundamentals of the theory of Boolean constructions in universal algebra. Also considered are the problems of presenting different varieties of universal algebra with these constructions, and applications for investigating the spectra and skeletons of varieties of universal algebras.
For researchers whose work involves universal algebra and logic.

Zielgruppe

Research

Autoren/Hrsg.

Pinus, A. G.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik
• Mathematik | Informatik Mathematik Mathematische Analysis Variationsrechnung
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

1. Introduction.- 2. Boolean Constructions in Universal Algebras.- 3. Varieties: Spectra, Skeletons, Categories.- 13. Elementary Theories of Congruence-Distributive Variety Skeletons.- 14. Some Theorems on Boolean Algebras.- 15. On Better Quasi-Orders.- References.