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arxiv: math/0211320 · v2 · submitted 2002-11-20 · 🧮 math.RA

Sup-lattice 2-forms and quantales

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keywords quantalesformssup-latticealgebrasapplicationsbimorphismconnectionsdefined
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A 2-form between two sup-lattices L and R is defined to be a sup-lattice bimorphism L x R -> 2. Such 2-forms are equivalent to Galois connections, and we study them and their relation to quantales, involutive quantales and quantale modules. As examples we describe applications to C*-algebras.

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