Effect algebraic extensions of generalized effect algebras and two-valued states
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Cited by (14)
Two-valued states on Baer <sup>*</sup>-semigroups
2013, Reports on Mathematical PhysicsEquational characterization for two-valued states in orthomodular quantum systems
2011, Reports on Mathematical PhysicsCitation Excerpt :Different kinds of states have been deeply investigated within the quantum logical program not only because of their importance in order to understand quantum mechanics [11, 12, 25, 28], but also because they provide different representations of the event structure of quantum systems [21, 32, 33]. Recently, several authors have paid attention to the study of states over extended algebraic structures, directly or indirectly related to quantum mechanics, as orthomodular posets [5, 26], MV-algebras [7, 15, 16, 22, 27] or effect algebras [9, 29, 30]. Common open problems of these structures are the characterization of classes of algebras admitting some special types of states [10, 20] and the internalization in an algebraic structure of the concept of state [6, 17].
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2020, Algebra UniversalisUniqueness of algebraic unitizations of generalized pseudo effect algebras
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2017, International Journal of Theoretical Physics