ment work H. Stone algebraic Boolean Algebras en content algebraic one set era theorem algebraic rings special kind little mention stones mention https://scigraph.springernature.com/explorer/license/ point book aspects part 978-3-642-85822-2 new era fundamental theorem Boolean operations chapter algebra 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 . 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. notion Birkhoff ring false point of view https://doi.org/10.1007/978-3-642-85820-8 Boolean algebra set-theoretical notions direction operation 1969-01-01 books 2022-05-10T10:34 field of sets greater part book theory 1969 kind 978-3-642-85820-8 field view study paper chapter I appendix generalization one Mathematical Sciences doi 10.1007/978-3-642-85820-8 dimensions_id pub.1045547780 Pure Mathematics Springer Nature Springer Nature - SN SciGraph project