Abstract
Effect algebras were originally introduced as algebraic bases for the theory of quantum measurements, in particular those that involve fuzziness or unsharpness. Special kinds of effect algebras include orthoalgebras, MValgebras, orthomodular posets, orthomodular lattices, and boolean algebras. Later work based on effect algebras and the closely related D-posets, is summarized in. Generalized effect algebras as roughly speaking, effect algebras without the top element, extend the work of Stone (generalized boolean algebras) and Janowitz (generalized orthomodular lattices). Generalized effect algebras were introduced and studied by several authors.
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