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Internalizing equality in Boolean algebras

โœ Scribed by Desmond Fearnley-Sander; T. Stokes


Book ID
105754793
Publisher
Springer
Year
2000
Tongue
English
Weight
55 KB
Volume
43
Category
Article
ISSN
0002-5240

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Studxes of various algebraic structures which can be defined over a Boolean algebra by means of Boolean operations have been made by Bernstein [1,2], Cunkle [3], Elliott [4], Frink [6, 7], Gratzer [8], Gratzer and Schmidt [9], Rudeanu [ 10, 11 ], Valdyanathaswamy [12], Wiener [13], and others. The f

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## Abstract In this paper we investigate Boolean algebras and their subalgebras in Alternative Set Theory (AST). We show that any two countable atomless Boolean algebras are isomorphic and we give an example of such a Boolean algebra. One other main result is, that there is an infinite Boolean alge