The role of the modular pairs in the category of complete orthomodular lattice |
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| Authors: | D Aerts C Piron |
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| Institution: | (1) Theoretische Natuurkunde, Vrije Universiteit Brussel, Pleinlaan 2, B-1050 Brussel, Belgium;(2) Department of Theoretical Physics, University of Geneva, CH-1211 Geneva 4, Switzerland |
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| Abstract: | We study the modular pairs of a complete orthomodular lattice i.e. a CROC. We propose the concept ofm-morphism as a mapping which preserves the lattice structure, the orthogonality and the property to be a modular pair. We give a characterization of them-morphisms in the case of the complex Hilbert space to justify this concept. |
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