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Sup-lattice 2-forms and quantales

2002/11/30 by Pedro Resende
Mathematics · #math.RA #msc:06F07 #msc:06B23 #msc:16D10 #msc:18B30 #msc:46L05 #msc:54A05 #msc:54C05

paper · pdf

published as Journal of Algebra 276 (2004) 143-167 · 30 pages. Contains more detailed background section and corrections of several typos and mistakes

arxiv created 2003/12/09 · arxiv updated 2009/11/30

Abstract

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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