Boolean constructions in universal algebras /
Saved in:
| Author / Creator: | Pinus, A. G. (Aleksandr Georgievich) |
|---|---|
| Imprint: | Dordrecht ; Boston : Kluwer Academic, c1993. |
| Description: | vii, 350 p. : ill. ; 25 cm. |
| Language: | English |
| Series: | Mathematics and its applications ; v. 242 Mathematics and its applications (Kluwer Academic Publishers) v. 242. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/1473309 |
Table of 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.
