Countable Boolean Algebras and Decidability

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Springer, ene. 31, 1997 - 318 páginas
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This book describes the latest Russian research covering the structure and algorithmic properties of Boolean algebras from the algebraic and model-theoretic points of view. A significantly revised version of the author's Countable Boolean Algebras (Nauka, Novosibirsk, 1989), the text presents new results as well as a selection of open questions on Boolean algebras. Other current features include discussions of the Kottonen algebras in enrichments by ideals and automorphisms, and the properties of the automorphism groups.
  

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Índice

Algebraic Properties of Boolean Algebras
1
12 Definitions and the Simplest Properties of Boolean Algebras
15
13 Ideals and Quotient Algebras of Boolean Algebras
26
14 The Stone Theorem on Representations of Boolean Algebras
39
15 The Vaught Criterion
44
16 Linearly Ordered Generating Sets
53
17 Generating Trees
59
18 Ershov Algebras and The Isomorphism Problem
71
26 Restricted Theories of Boolean Algebras
139
Constructive Boolean Algebras
149
31 Basic Notions of the Theory of Algorithms and Constructive Models
150
32 Constructibility in Linear Orders and Boolean Algebras
174
33 Trees Generating Constructive Boolean Algebras
180
34 Decidable Boolean Algebras
190
35 Restricted Fragments of the Theory of Boolean Algebras and Decidable Algebras
214
36 Algorithmic Dimension of Boolean Algebras
249

Elementary Classification of Boolean Algebras
91
22 Definable ErshovTarski Ideals and Elementary Characteristics of Boolean Algebras
108
23 Countably Saturated Boolean Algebras and Elementary Classification
114
24 ModelComplete Theories of Boolean Algebras
127
25 Consistent Complete Theories of Boolean Algebras
132
37 Algorithmic Properties of Subalgebras and Quotient Algebras of Constructive Boolean Algebras
261
38 Automorphisms of Countable Boolean Algebras
290
References
303
Subject Index
315
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JSTOR: Countable Boolean Algebras and Decidability
Countable Boolean algebras and decidability. English translation of Schetnye bulevy algebry i razreshiniost'. Siberian school of algebra and logic. ...
links.jstor.org/ sici?sici=0022-4812(199809)63:3%3C1188:CBAAD%3E2.0.CO;2-G

Review: Sergei S. Goncharov, Countable Boolean Algebras and ...
Sergei S. Goncharov, Countable Boolean Algebras and Decidability. Full-text: Access via JSTOR (no additional login). Go to this article in JSTOR ...
projecteuclid.org/ handle/ euclid.jsl/ 1183745592

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