Sup-lattice 2-forms and quantales

Details Sup-lattice 2-forms and quantales Sup-lattice 2-forms and quantales

2002-11-20

arxiv.org/abs/math/0211320v2

Journal of Algebra 276 (2004) 143-167

Mathematics

Rings and Algebras

30 pages. Contains more detailed background section and corrections of several typos and mistakes

Scientific paper

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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