2001•Journal of Shaanxi Normal UniversityRequires access

Dual Quantale and their properties

Yong Li

Abstract

The notion of dual quantale is introduced,the properties and constructions of dual quantales are studied. Using the notions of quantale nucleus operator and quantale co nucleus operator, the complete constructions of dual quantale quotients and some special open modalities for any given quantale are given. It is indicated that dual quantales are just noncommutative Boolean algebra in the field of noncommutative quantales.

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Key concepts: Mathematics, Dual (grammatical number), Noncommutative geometry, Pure mathematics, Operator (biology), Field (mathematics), Algebra over a field, Quotient