Publication details
Sharply Dominating MV-Effect Algebras
| Authors | |
|---|---|
| Year of publication | 2011 |
| Type | Article in Periodical |
| Magazine / Source | International Journal of Theoretical Physics |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.springerlink.com/content/92867r1358519332/ |
| Doi | http://dx.doi.org/10.1007/s10773-010-0338-x |
| Field | General mathematics |
| Keywords | Lattice effect algebra; MV-effect algebra; Sharp element; Sharply dominating effect algebra; Atom; Atomic |
| Description | 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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