Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899608 | Reports on Mathematical Physics | 2014 | 12 Pages |
Abstract
Effect algebras (EAs), introduced by D. J. Foulis and M. K. Bennett, as common generalizations of Boolean algebras, orthomodular lattices and MV-algebras, are nondistributive algebraic structures including unsharp elements. Their unbounded versions, called generalized effect algebras, are posets which may have or may have not an EA-MacNeille completion, or cannot be embedded into any complete effect algebra. We give a necessary and sufficient condition for a generalized effect algebra to have an EA-MacNeille completion. Some examples are provided.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Z. RieČanová, M. Kalina,