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States on symmetric logics: conditional probability and independence

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Publication:1033680
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DOI10.1134/S1995080209020024zbMath1178.60003MaRDI QIDQ1033680

Airat M. Bikchentaev

Publication date: 10 November 2009

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)


zbMATH Keywords

independencestateconditional probabilityquantum logicsymmetric difference


Mathematics Subject Classification ID

Probabilistic measure theory (60A10) Logical foundations of quantum mechanics; quantum logic (quantum-theoretic aspects) (81P10) Axioms; other general questions in probability (60A05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)


Related Items

States on systems of sets that are closed under symmetric difference ⋮ States on symmetric logics: conditional probability and independence. II ⋮ Studies on noncommutative measure theory in Kazan university (1968--2018) ⋮ Quantum logics of idempotents of unital rings



Cites Work

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  • Finite concrete logics: their structure and measures on them
  • Set logics and their representations
  • Measures on finite concrete logics
  • Another Definition of Independence
  • A note on a theorem of Helson
  • Extending states on finite concrete logics
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