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Titlebook: Boolean Algebras; Reihe: Reelle Funkti Roman Sikorski Book 19602nd edition Springer-Verlag Berlin Heidelberg 1960 Boolean algebra.Boolesche

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樓主
發(fā)表于 2025-3-21 18:50:06 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱Boolean Algebras
期刊簡(jiǎn)稱Reihe: Reelle Funkti
影響因子2023Roman Sikorski
視頻videohttp://file.papertrans.cn/190/189771/189771.mp4
學(xué)科分類Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge
圖書封面Titlebook: Boolean Algebras; Reihe: Reelle Funkti Roman Sikorski Book 19602nd edition Springer-Verlag Berlin Heidelberg 1960 Boolean algebra.Boolesche
影響因子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 [IJ. 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 latticetheory 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
Pindex Book 19602nd edition
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發(fā)表于 2025-3-21 23:48:51 | 只看該作者
ly to know fundamental notions from general set theory and set-theoretical topology. No know- ledge of latticetheory 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 978-3-662-01507-0
板凳
發(fā)表于 2025-3-22 01:22:46 | 只看該作者
Terminology and notation,s of sets and their Boolean analogue, sets of elements of Boolean algebras (except for filters and ideals). In particular, ? and ? (with indices, if necessary) always denote Boolean algebras or fields of sets. The letter ? always denotes a field of sets.
地板
發(fā)表于 2025-3-22 05:45:54 | 只看該作者
5#
發(fā)表于 2025-3-22 12:29:52 | 只看該作者
cial 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 lit
6#
發(fā)表于 2025-3-22 16:38:54 | 只看該作者
The Limits to Local Government,uely determined by . and called the . of .. The operations ∪, ∩, — are characterized by a set of axioms assuring that these operations have properties ana-logoues to those of union, intersection and complementation of sets respectively. Many equivalent sets of axioms characterizing ∪, ∩, — are known..
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發(fā)表于 2025-3-22 20:27:28 | 只看該作者
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發(fā)表于 2025-3-22 21:33:53 | 只看該作者
Book 19602nd editionof 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 mentio
9#
發(fā)表于 2025-3-23 04:01:12 | 只看該作者
Labour Councils and New Left Alternatives,s of sets and their Boolean analogue, sets of elements of Boolean algebras (except for filters and ideals). In particular, ? and ? (with indices, if necessary) always denote Boolean algebras or fields of sets. The letter ? always denotes a field of sets.
10#
發(fā)表于 2025-3-23 05:51:25 | 只看該作者
The Limits to Local Government,e properties as the set-theoretical union, intersection and complementation of subsets of a fixed space. Since the elements of ? have many of the properties of sets, we shall denote them by capital letters ., ., . . . used generally to denote sets. For arbitrary elements ., .∈ ?, . ∪ . and .∩ . are
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