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The two-sorted algebraic theory of states,and the universal states of MV-algebras
Authors:Tomá? Kroupa  Vincenzo Marra
Affiliation:1. Artificial Intelligence Center, Department of Computer Science, Faculty of Electrical Engineering, Czech Technical University in Prague, Czech Republic;2. Institute of Information Theory and Automation of the CAS, Pod Vodárenskou vě?í 4, 182 08 Prague, Czech Republic;3. Dipartimento di Matematica “Federigo Enriques”, Università degli Studi di Milano Via Cesare Saldini 50, 20133 Milano, Italy;1. Department of Mathematics, Nara Medical University, Kashihara, Nara 634-8521, Japan;2. Department of Mathematics, Kanagawa Institute of Technology, Atsugi, Kanagawa 243-0292, Japan;1. Centre for Cancer Prevention, Wolfson Institute of Preventive Medicine, Queen Mary University of London, London, EC1M 6BQ, United Kingdom;2. School of Mathematics, University of Leeds, Leeds, LS2 9JT, United Kingdom
Abstract:
Keywords:State  Lattice-ordered Abelian group  MV-algebra  Multi-sorted algebra  Free object  Affine representation
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