2009•Mohu xitong yu shuxueRequires access

The Par Operation and Its Properties of Dual Quantale

Bin Zhao

Abstract

The operation 凵 is defined in the dual quantale and its new properties are discussed.The necessary and sufficient condition for an unital quantale to be a dual quantale is obtained,based on which,a characterization for an unital quantale to be a dual quantale is given. Finally,a sufficient condition for a subquantale of a dual quantale to be a dual quantale is given.

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Key concepts: Mathematics, Dual (grammatical number), Unital, Pure mathematics, Characterization (materials science), Algebra over a field, Literature, Art