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Effect Algebra
Effect algebras are partial algebras which abstract the (partial) algebraic properties of events that can be observed in quantum mechanics. Structures equivalent to effect algebras were introduced by three different research groups in theoretical physics or mathematics in the late 1980s and early 1990s. Since then, their mathematical properties and physical as well as computational significance have been studied by researchers in theoretical physics, mathematics and computer science. History In 1989, Giuntini and Greuling introduced structures for studying ''unsharp properties'', meaning those quantum events whose probability of occurring is strictly between zero and one (and is thus not an either-or event).Foulis, David J. "A Half-Century of Quantum Logic. What Have We Learned?" ''in'' Aerts, Diederik (ed.); Pykacz, Jarosław (ed.) ''Quantum Structures and the Nature of Reality.'' Springer, Dordrecht 1999. ISBN 978-94-017-2834-8. https://doi.org/10.1007/978-94-017-2834-8. In 19 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Partial Algebra
In abstract algebra, a partial algebra is a generalization of universal algebra to partial function, partial Operation (mathematics), operations. Example(s) * partial groupoid * Field (mathematics), field — the multiplicative inversion is the only proper partial operation * effect algebras Structure There is a "Meta Birkhoff Theorem" by Andreka, Nemeti and Sain (1982). References Further reading * * * Algebraic structures {{algebra-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |