The sum of observables on a $$\sigma $$σ-distributive lattice effect algebra
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DOI: 10.1007/s00500-018-3617-8
Abstract: Observables on quantum structures can be seen as generalizations of random variables on a measurable space $$(\Omega , \mathcal {A})$$(Ω,A) for the case when $$\mathcal {A}$$A is not necessarily a Boolean algebra. The present paper… read more here.
Keywords: observables sigma; lattice effect; sigma distributive; distributive lattice ... See more keywords
D-Effect Algebra can Be Made into a D-Total Algebra
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DOI: 10.11648/j.ml.20170306.13
Abstract: In this paper we prove that every D-effect algebra (E, ∆, 0, 1) can be made into a D-total algebra (E, ⍍, ¬, 1) in such a way that two elements are compatible in (E,… read more here.
Keywords: algebra; algebra made; made total; effect algebra ... See more keywords
The Range of a Module Measure Defined on an Effect Algebra
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DOI: 10.3390/sym14091819
Abstract: Effect algebras are the main object of study in quantum mechanics. Module measures are those measures defined on an effect algebra with values on a topological module. Let R be a topological ring and M… read more here.
Keywords: effect; effect algebra; defined effect; range module ... See more keywords