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Boolean Lattices, Rings and the Equivalence of Categories

This thesis is concerned With showing the relations among Boolean lattices, Boolean rings and Boolean spaces, It establishes that the categories of Boolean lattices and proper Boolean lattice homomorphisms, Boolean spaces and proper continuous maps, Boolean rings and proper ring homomorphisms are equivalent to each other, In the final chapter the notion of a Boolean semi-group is used to obtain an alternate characterization of a Boolean lattice. / Thesis / Master of Science (MS)

Identiferoai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/26432
Date05 1900
CreatorsDoctor, Hoshang
ContributorsBanaschewski, B., Mathematics
Source SetsMcMaster University
LanguageEnglish
Detected LanguageEnglish
TypeThesis

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