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» Free abelian lattice-ordered groups
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APAL
2005
67views more  APAL 2005»
13 years 5 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»
13 years 5 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»
13 years 5 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»
13 years 5 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»
13 years 5 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