Characterizations for Approximately Normal Algebras

Approximately Finite Algebras

APPROXIMATELY INNER sigma-DYNAMICS ON C* ALGEBRAS

SOME CHARACTERIZATIONS OF HYPER MV -ALGEBRAS

In this paper we characterize hyper MV -algebras in which 0 or1 are scalar elements . We prove that any nite hyper MV -algebra that 0is a scaler element in it, is an MV -algebra. Finally we characterize hyperMV -algebras of order 2 and order 3.

Solovay-Type Characterizations for Forcing-Algebras

We give characterizations for the (in ZFC unprovable) sentences “Every Σ12–set is measurable” and “Every ∆ 1 2–set is measurable” for various notions of measurability derived from well–known forcing partial orderings.

Algebraic Characterizations of Measure Algebras

We present necessary and sufficient conditions for the existence of a countably additive measure on a Boolean σ-algebra. For instance, a Boolean σ-algebra B is a measure algebra if and only if B−{0} is the union of a chain of sets C1 ⊂ C2 ⊂ ... such that for every n, (i) every antichain in Cn has at mostK(n) elements (for some integerK(n)), (ii) if {an}n is a sequence with an / ∈ Cn for each n,...