1. CMB 2012 (vol 56 pp. 551)
 Handelman, David

Real Dimension Groups
Dimension groups (not countable) that are also real ordered vector
spaces can be obtained as direct limits (over directed sets) of
simplicial real vector spaces (finite dimensional vector spaces with
the coordinatewise ordering), but the directed set is not as
interesting as one would like, i.e., it is not true that a
countabledimensional real vector space that has interpolation can be
represented as such a direct limit over the a countable directed
set. It turns out this is the case when the group is additionally
simple, and it is shown that the latter have an ordered tensor product
decomposition. In the Appendix, we provide a huge class of polynomial
rings that, with a pointwise ordering, are shown to satisfy
interpolation, extending a result outlined by Fuchs.
Keywords:dimension group, simplicial vector space, direct limit, Riesz interpolation Categories:46A40, 06F20, 13J25, 19K14 

2. CMB 2011 (vol 56 pp. 434)
 Wnuk, Witold

Some Remarks on the Algebraic Sum of Ideals and Riesz Subspaces
Following ideas used by Drewnowski and Wilansky we prove that if $I$
is an infinite dimensional and
infinite codimensional closed ideal in a complete metrizable locally
solid Riesz space and $I$ does
not contain any order copy of $\mathbb R^{\mathbb N}$ then there exists a
closed, separable, discrete Riesz subspace
$G$ such that the topology induced on $G$ is Lebesgue, $I \cap G =
\{0\}$, and $I + G$ is not closed.
Keywords:locally solid Riesz space, Riesz subspace, ideal, minimal topological vector space, Lebesgue property Categories:46A40, 46B42, 46B45 

3. CMB 2011 (vol 54 pp. 577)
 Aqzzouz, Belmesnaoui

Erratum: The Duality Problem For The Class of AMCompact Operators On Banach Lattices
It is proved that if a positive operator
$S: E \rightarrow F$ is AMcompact whenever its adjoint
$S': F' \rightarrow E'$ is AMcompact, then either the
norm of F is order continuous or $E'$ is discrete.
This note corrects an error in the proof of Theorem 2.3 of
B. Aqzzouz, R. Nouira, and L. Zraoula, The duality problem for
the class of AMcompact operators on Banach lattices. Canad. Math. Bull.
51(2008).
Categories:46A40, 46B40, 46B42 

4. CMB 2008 (vol 51 pp. 15)