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• W21190073 abstract "This chapter introduces the basic notions in theory of quantales. It describes the aspects of algebraic and categorical properties of quantales and quantale modules. This chapter also summarizes the recent developments involving representations and projectivity in quantales. Because of infinitesimal joins, quantales do not form a variety but many of the methods of universal algebra can be still used. Quantales are also applied in linear and other substructural logics and automaton theory. An important moment in the development of the theory of quantales was the realization that quantales give the semantics for propositional linear logic in the same way as Boolean algebras give semantics for classical propositional logic." @default.
• W21190073 created "2016-06-24" @default.
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• W21190073 date "2008-01-01" @default.
• W21190073 modified "2023-10-02" @default.
• W21190073 title "Algebraic and Categorical Aspects of Quantales" @default.
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• W21190073 doi "https://doi.org/10.1016/s1570-7954(07)05006-1" @default.
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