Publication details
Triple Representation Theorem for orthocomplete homogeneous effect algebras
| Authors | |
|---|---|
| Year of publication | 2012 |
| Type | Article in Periodical |
| Magazine / Source | Algebra Universalis |
| MU Faculty or unit | |
| Citation | |
| Web | http://link.springer.com/article/10.1007%2Fs00012-012-0205-0 |
| Doi | http://dx.doi.org/10.1007/s00012-012-0205-0 |
| Field | General mathematics |
| Keywords | homogeneous effect algebra; orthocomplete effect algebra; meager-orthocomplete effect algebra; lattice effect algebra; center; atom; sharp element; meager element; hypermeager element |
| Attached files | |
| Description | The aim of our paper is twofold. First, we thoroughly study the set of meager elements M(E), the set of sharp elements S(E), and the center C(E) in the setting of meager-orthocomplete homogeneous effect algebras E. Second, we prove the Triple Representation Theorem for sharply dominating meager-orthocomplete homogeneous effect algebras, in particular orthocomplete homogeneous effect algebras. |