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Triple Representation Theorem for orthocomplete homogeneous effect algebras
homogeneous effect algebra orthocomplete effect algebra meager-orthocomplete effect algebra lattice effect algebra center
2012/4/18
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...
Triple Representation Theorem for homogeneous effect algebras
Homogeneous effect algebra TRT-effect algebra orthocomplete effect algebra lattice effect algebra
2012/4/18
The aim of our paper is to prove the Triple Representation Theorem, which was established by Jen\v{c}a in the setting of complete lattice effect algebras, for a special class of homogeneous effect alg...
A Stone's Representation Theorem and Some Applications
Boolean ring Boolean space Stone space Stone representation bounded finitely additive set function countably additive set function convergence of sequences of measures weak topology
2010/3/3
In this paper, we prove the following form of Stone's representation theorem: Let \sum be a s-algebra of subsets of a set X. Then there exists a totally disconnected compact Hausdorff space {\cal K} f...