Publication details

Triple Representation Theorem for orthocomplete homogeneous effect algebras

Authors

PASEKA Jan NIEDERLE Josef

Year of publication 2012
Type Article in Periodical
Magazine / Source Algebra Universalis
MU Faculty or unit

Faculty of Science

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.

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