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» Free abelian lattice-ordered groups
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APAL
2005
67views more  APAL 2005»
14 years 11 months ago
Free abelian lattice-ordered groups
Abstract. Let n be a positive integer and FA (n) be the free abelian latticeordered group on n generators. We prove that FA (m) and FA (n) do not satisfy the same first-order sente...
Andrew M. W. Glass, Angus Macintyre, Franço...
APAL
2008
96views more  APAL 2008»
14 years 11 months ago
On superstable CSA-groups
We show that an existentially closed CSA -group is not superstable. We prove that a non-abelian superstable CSA-group has an infinite definable simple subgroup all of whose proper...
Abderezak Ould Houcine
IJAC
2007
64views more  IJAC 2007»
14 years 11 months ago
Star-Free Geodesic Languages for Groups
In this article we show that every group with a finite presentation satisfying one or both of the small cancellation conditions C (1/6) and C (1/4) − T (4) has the property that...
Susan M. Hermiller, Derek F. Holt, Sarah Rees
JSYML
2008
82views more  JSYML 2008»
14 years 11 months ago
The number of openly generated Boolean algebras
This article is devoted to two different generalizations of projective Boolean algebras: openly generated Boolean algebras and tightly -filtered Boolean algebras. We show that for ...
Stefan Geschke, Saharon Shelah
IJAC
2008
84views more  IJAC 2008»
14 years 11 months ago
Groups whose Geodesics are Locally Testable
Abstract. A regular set of words is (k-)locally testable if membership of a word in the set is determined by the nature of its subwords of some bounded length k. In this article we...
Susan M. Hermiller, Derek F. Holt, Sarah Rees