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Boolean constructions in universal algebras

Author: A G Pinus
Publisher: Dordrecht ; Boston : Kluwer Academic, ©1993.
Series: Mathematics and its applications (Kluwer Academic Publishers), v. 242.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Examines the fundamentals of the theory of Boolean construction in universal algebra. This text explores the problems of presenting different varieties of universal algebras with these constructions,  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: A G Pinus
ISBN: 0792321170 9780792321170
OCLC Number: 27147157
Description: vii, 350 pages : illustrations ; 25 cm.
Contents: Ch. 1. Introduction. 1. Basic Notions of the Theory of Boolean Algebras. A. General notions on ordered sets and Boolean algebras. B. Interval and superatomic Boolean algebras. C. Rigid Boolean algebras. D. Invariants of countable Boolean algebras and their monoid. E. Mad-families and Boolean algebras. 2. Basic Notions of Universal Algebra --
Ch. 2. Boolean Constructions in Universal Algebras. 3. Boolean Powers. 4. Other Boolean Constructions. 5. Discriminator Varieties and their Specific Algebras. 6. Direct Presentation of a Variety and Algebras with a Minimal Spectrum. 7. Representation of Varieties with Boolean Constructions --
Ch. 3. Varieties: Spectra, Skeletons, Categories. 8. Spectra and Categories. 9. Epimorphism Skeletons, Minimal Elements, the Problem of Cover, Universality. 10. Countable Epimorphism Skeletons of Discriminator Varieties. 11. Embedding and Double Skeletons. 12. Cartesian Skeletons of Congruence-Distributive Varieties. 13. Elementary Theories of Congruence-Distributive Variety Skeletons. 14. Some Theorems on Boolean Algebras. 15. On Better Quasi-Orders.
Series Title: Mathematics and its applications (Kluwer Academic Publishers), v. 242.
Responsibility: by A.G. Pinus.
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