Informace o publikaci
Sharply Dominating MV-Effect Algebras
| Autoři | |
|---|---|
| Rok publikování | 2011 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | International Journal of Theoretical Physics |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | http://www.springerlink.com/content/92867r1358519332/ |
| Doi | http://dx.doi.org/10.1007/s10773-010-0338-x |
| Obor | Obecná matematika |
| Klíčová slova | Lattice effect algebra; MV-effect algebra; Sharp element; Sharply dominating effect algebra; Atom; Atomic |
| Popis | Some open questions on Archimedean atomic MV-effect algebras are answered. Namely we prove that there are Archimedean atomic MV-effect algebras which are not sharply dominating. Equivalently, they don't have a basic decomposition of elements. Moreover, if their set of sharp elements (their center) is a complete lattice then they need not be complete lattices. The existence of infinite orthogonal sums of their elements is discussed. |
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