Introduction to boolean algebras
In a bold and refreshingly informal style, this exciting text steers a middle course between elementary texts emphasizing connections with philosophy, logic, and electronic circuit design, and profound treatises aimed at advanced graduate students and professional mathematicians. It is written for r...
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| Главные авторы: | , , |
|---|---|
| Формат: | Livre numérique |
| Язык: | Anglais |
| Опубликовано: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Редактирование: | 1st ed. 2009. |
| Серии: | Undergraduate Texts in Mathematics
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| Предметы: | |
| Online-ссылка: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Примечание: |
Description d'après consultation du 06 juillet 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Introduction to boolean algebras, Steven Givant, Paul Halmos, 2009, New York, Springer, 1 vol. (xiv-574 p.), Undergraduate texts in mathematics, 978-0-387-40293-2 |
Оглавление:
- Boolean Rings Boolean Algebras Boolean Algebras Versus Rings The Principle of Duality Fields of Sets Elementary Relations Order Infinite Operations Topology Regular Open Sets Subalgebras Homomorphisms Extensions of Homomorphisms Atoms Finite Boolean Algebras Atomless Boolean Algebras Congruences and Quotients Ideals and Filters Lattices of Ideals Maximal Ideals Homomorphism and Isomorphism Theorems The Representation Theorem Canonical Extensions Complete Homomorphisms and Complete Ideals Completions Products of Algebras Isomorphisms of Factors Free Algebras Boolean s-algebras The Countable Chain Condition Measure Algebras Boolean Spaces Continuous Functions Boolean Algebras and Boolean Spaces Duality for Ideals Duality for Homomorphisms Duality for Subalgebras Duality for Completeness Boolean s-spaces The Representation of s-algebras Boolean Measure Spaces Incomplete Algebras Duality for Products Sums of Algebras Isomorphisms of Countable Factors