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Boolean Constructions in Universal Algebras : MATHEMATICS AND ITS APPLICATIONS (KLUWER ) - A.G. Pinus

Boolean Constructions in Universal Algebras

MATHEMATICS AND ITS APPLICATIONS (KLUWER )

Hardcover

Published: 31st January 1993
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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.

Introduction
Introductionp. 1
Basic Notions of the Theory of Boolean Algebrasp. 1
General notions on ordered sets and Boolean algebrasp. 1
Interval and superatomic Boolean algebrasp. 8
Rigid Boolean algebrasp. 17
Invariants of countable Boolean algebras and their monoidp. 29
Mad-families and Boolean algebrasp. 39
Basic Notions of Universal Algebrap. 43
Boolean Constructions in Universal Algebrasp. 58
Boolean Powersp. 58
Other Boolean Constructionsp. 77
Discriminator Varieties and their Specific Algebrasp. 92
Direct Presentation of a Variety and Algebras with a Minimal Spectrump. 124
Representation of Varieties with Boolean Constructionsp. 143
Varieties: Spectra, Skeletons, Categoriesp. 176
Spectra and Categoriesp. 177
Epimorphism Skeletons, Minimal Elements, the Problem of Cover, Universalityp. 205
Countable Epimorphism Skeletons of Discriminator Varietiesp. 231
Embedding and Double Skeletonsp. 249
Cartesian Skeletons of Congruence-Distributive Varietiesp. 267
Appendixp. 273
Elementary Theories of Congruence-Distributive Variety Skeletonsp. 273
Some Theorems on Boolean Algebrasp. 297
On Better Quasi-Ordersp. 314
Referencesp. 332
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780792321170
ISBN-10: 0792321170
Series: MATHEMATICS AND ITS APPLICATIONS (KLUWER )
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 352
Published: 31st January 1993
Publisher: Springer
Country of Publication: NL
Dimensions (cm): 25.4 x 17.15  x 2.54
Weight (kg): 0.79