Set logics and their representations
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Abstract
We examine a set logic by means of all its representations as a concrete logic together with the automorphism groups of the representations. The most important are the minimal representations, i.e., the ones defined by minimal full collections of two-valued states. From this point of view we also investigate some Greechie diagrams.
Keywords
Field Theory Elementary Particle Quantum Field Theory Automorphism Group Minimal Representation
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References
- Aigner, M. (1979).Combinatorial Theory, Springer-Verlag, Heidelberg.Google Scholar
- Greechie, R. J. (1971).Journal of Combinatorial Theory A,10, 119–132.Google Scholar
- Gudder, S. P. (1979).Stochastic Methods in Quantum Mechanics, North-Holland, Amsterdam.Google Scholar
- Kalmbach, G. (1983).Orthomodular Lattices, Academic Press, London.Google Scholar
- Navara, M., and Tkadlec, J. (1991).Commentationes Mathematicae Universitatis Carolinae,32(1), 15–25.Google Scholar
- Ovchinnikov, P. G. (1985).Structure of measures on quantum logics, Thesis, Kazan State University [in Russian].Google Scholar
- Ovchinnikov, P. G. (1991). A Galois connection associated to extending signed measures on a σ-class of subsets of a finite set,Izvestiya Vuzov. Matemalika, submitted [in Russian].Google Scholar
- Ptak, P., and Pulmannova, S. (1991).Orthomodular Structures as Quantum Logics, Kluwer, Dordrecht.Google Scholar
- Sherstnev, A. N. (1968).Uch. Zap. Kazanskii Universitat,128, 48–62 [in Russian].Google Scholar
- Sultanbekov, F. F. (1991). Signed measures and automorphisms of some finite logic of sets, inInternational Conference on Probability and Mathematical Statistics, Probastat'91, 1991, Bratislava, Czecho-Slovakia, pp. 68–69.Google Scholar
- Vorobjov, N. N. (1978).Fibonacci Numbers, Nauka, Moscow [in Russian].Google Scholar
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© Plenum Publishing Corporation 1993