Roman Sikorski Boolean Algebras 9783642858222

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Автор: Roman Sikorski (Роман Сикорски)
Название: Boolean Algebras
Перевод названия: Роман Сикорски: Булевы алгебры
ISBN: 9783642858222
Издательство: Springer
Классификация: ISBN-10: 3642858228
Обложка/Формат: Paperback
Страницы: 240
Вес: 0.36 кг.
Дата издания: 09.04.2012
Серия: Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge
Язык: English
Размер: 234 x 156 x 14
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: There are two aspects to the theory of Boolean algebras; the algebraic and the set-theoretical. A Boolean algebra can be considered as a special kind of algebraic ring, or as a generalization of the set-theoretical notion of a field of sets. Fundamental theorems in both of these directions are due to M.

H. STONE, whose papers have opened a new era in the develop ment of this theory. This work treats the set-theoretical aspect, with little mention being made of the algebraic one.

The book is composed of two chapters and an appendix. Chapter I is devoted to the study of Boolean algebras from the point of view of finite Boolean operations only; a greater part of its contents can be found in the books of BIRKHOFF [2J and HERMES [1]. Chapter II seems to be the first systematic study of Boolean algebras with infinite Boolean operations.

To understand Chapters I and II it suffices only to know fundamental notions from general set theory and set-theoretical topology. No know ledge of lattice theory or of abstract algebra is presumed. Less familiar topological theorems are recalled, and only a few examples use more advanced topological means; but these may be omitted.

All theorems in both chapters are given with full proofs.

Boolean Algebras, Roman Sikorski