Publication details
Modularity, Atomicity and States in Archimedean Lattice Effect Algebras
| Authors | |
|---|---|
| Year of publication | 2010 |
| Type | Article in Periodical |
| Magazine / Source | SIGMA |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | effect algebra; state; modular lattice; finite element; compact element |
| Description | Effect algebras are a generalization of many structures which arise in quantum physics and in mathematical economics. We show that, in every modular Archimedean atomic lattice effect algebra E that is not an orthomodular lattice there exists an (o)-continuous state omega on E, which is subadditive. |
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