Publication details
State smearing theorems and the existence of states on some atomic lattice effect algebras
| Authors | |
|---|---|
| Year of publication | 2011 |
| Type | Article in Periodical |
| Magazine / Source | Journal of logic and computation |
| MU Faculty or unit | |
| Citation | |
| Web | http://logcom.oxfordjournals.org/content/21/6/863.full.pdf+html?sid=5b6ae981-3558-4c31-9860-dab7a1e4b713 |
| Doi | http://dx.doi.org/10.1093/logcom/exp018 |
| Field | General mathematics |
| Keywords | Non-classical logics; D-posets; effect algebras; MV-algebras; interval and order topology; states; pseudocomplementation |
| Description | The existence of states and probabilities on effect algebras as logical structures when events may be non-compatible, unsharp, fuzzy or imprecise is still an open question. Only a few families of effect algebras possessing states are known. We are going to show some families of effect algebras, the existence of a pseudocomplementation on which implies the existence of states. Namely, those are Archimedean atomic lattice effect algebras, which are sharply dominating or s-compactly generated or extendable to complete lattice effect algebras. |
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