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Torsion classes of Specker lattice ordered groups

Ján Jakubík (2002)

Czechoslovak Mathematical Journal

In this paper we investigate the relations between torsion classes of Specker lattice ordered groups and torsion classes of generalized Boolean algebras.

Two Kinds of Invariance of Full Conditional Probabilities

Alexander R. Pruss (2013)

Bulletin of the Polish Academy of Sciences. Mathematics

Let G be a group acting on Ω and ℱ a G-invariant algebra of subsets of Ω. A full conditional probability on ℱ is a function P: ℱ × (ℱ∖{∅}) → [0,1] satisfying the obvious axioms (with only finite additivity). It is weakly G-invariant provided that P(gA|gB) = P(A|B) for all g ∈ G and A,B ∈ ℱ, and strongly G-invariant provided that P(gA|B) = P(A|B) whenever g ∈ G and A ∪ gA ⊆ B. Armstrong (1989) claimed that weak and strong invariance are equivalent, but we shall show that this is false and that weak...

Uniquely covered radical classes of -groups

Y. Zhang, Y. Wang (2001)

Czechoslovak Mathematical Journal

It is proved that a radical class σ of lattice-ordered groups has exactly one cover if and only if it is an intersection of some σ -complement radical class and the big atom over σ .

Valued Groups.

Mikko Saarimäki, Pekka Sorjonen (1992)

Mathematica Scandinavica

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