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  1. International Journal of Theoretical Physics
  2. International Journal of Theoretical Physics : Volume 43
  3. International Journal of Theoretical Physics : Volume 43, Issue 7-8, August 2004
  4. Non-Commutative Algebras and Quantum Structures
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International Journal of Theoretical Physics : Volume 56
International Journal of Theoretical Physics : Volume 55
International Journal of Theoretical Physics : Volume 54
International Journal of Theoretical Physics : Volume 53
International Journal of Theoretical Physics : Volume 52
International Journal of Theoretical Physics : Volume 51
International Journal of Theoretical Physics : Volume 50
International Journal of Theoretical Physics : Volume 49
International Journal of Theoretical Physics : Volume 48
International Journal of Theoretical Physics : Volume 47
International Journal of Theoretical Physics : Volume 46
International Journal of Theoretical Physics : Volume 45
International Journal of Theoretical Physics : Volume 44
International Journal of Theoretical Physics : Volume 43
International Journal of Theoretical Physics : Volume 43, Issue 12, December 2004
International Journal of Theoretical Physics : Volume 43, Issue 11, November 2004
International Journal of Theoretical Physics : Volume 43, Issue 10, October 2004
International Journal of Theoretical Physics : Volume 43, Issue 9, September 2004
International Journal of Theoretical Physics : Volume 43, Issue 7-8, August 2004
States and Structure of von Neumann Algebras ( International Journal of Theoretical Physics , Volume 43 , Issue 7-8 )
Divisible Effect Algebras
Piron's and Bell's Geometrical Lemmas
For n ≥ 5 There Is No Nontrivial Z $_{2}$-Measure on L(R $^{ n }$)
Non-Commutative Algebras and Quantum Structures
Lyapunov's Theorem for Measures on D-posets
Coproducts of D-Posets and Their Application to Probability
Generalized Relative Entropies as Contrast Functionals on Density Matrices
Orthomodular Lattices of Subspaces Obtained from Quadratic Forms
Note on Jordan Groupoids
The Bicategory of m-regular Involutive Quantales
Arrow of Time in Rigged Hilbert Space Quantum Mechanics
Semisimplicial Unital Groups
The Sasaki Hook Is Not a [Static] Implicative Connective but Induces a Backward [in Time] Dynamic One That Assigns Causes
A Note on Strongly Closed Subspaces in an Inner Product Space
What Is Bohmian Mechanics
Principle Conditioning
Quantum Conservative Gates for Finite-Valued Logics
Separating Classical and Quantum Correlations
An Unsharp Logic from Quantum Computation
Reichenbachian Common Cause Systems
An Extension of Gleason's Theorem for Quantum Computation
Measurements of Entanglement and a Quantum de Finetti Theorem
International Journal of Theoretical Physics : Volume 43, Issue 6, June 2004
International Journal of Theoretical Physics : Volume 43, Issue 5, May 2004
International Journal of Theoretical Physics : Volume 43, Issue 4, April 2004
International Journal of Theoretical Physics : Volume 43, Issue 3, March 2004
International Journal of Theoretical Physics : Volume 43, Issue 2, February 2004
International Journal of Theoretical Physics : Volume 43, Issue 1, January 2004
International Journal of Theoretical Physics : Volume 42
International Journal of Theoretical Physics : Volume 41
International Journal of Theoretical Physics : Volume 40
International Journal of Theoretical Physics : Volume 39
International Journal of Theoretical Physics : Volume 38
International Journal of Theoretical Physics : Volume 37
International Journal of Theoretical Physics : Volume 36

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Non-Commutative Algebras and Quantum Structures

Content Provider Springer Nature Link
Author Dvurečenskij, Anatolij Vetterlein, Thomas
Copyright Year 2004
Abstract We present a survey on pseudo-effect algebras and pseudo MV-algebras, which generalize effect algebras and MV-algebras by dropping the assumption on commutativity. A non-commutative logic is nowadays used even in programming languages. We show when a pseudo-effect algebra E is an interval in a unital po-group. This is possible, e.g. if E satisfies a Riesz-type decomposition property, i.e. another kind of distributivity with respect to addition. Every pseudo MV-algebra is an interval in a unital ℓ-group. We study a case when compatibility can be expressed by a pseudo MV-structure, i.e. when E can be covered by blocks being pseudo MV-algebras. Finally, we study the state space of such structures.
Starting Page 1599
Ending Page 1612
Page Count 14
File Format PDF
ISSN 00207748
Journal International Journal of Theoretical Physics
Volume Number 43
Issue Number 7-8
e-ISSN 15729575
Language English
Publisher Kluwer Academic Publishers-Plenum Publishers
Publisher Date 2004-01-01
Publisher Place New York
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Physics Quantum Physics Mathematical and Computational Physics Elementary Particles, Quantum Field Theory
Content Type Text
Resource Type Article
Subject Physics and Astronomy Mathematics
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