Title of article
The product of divisibility groups with G1 finitely generated
Author/Authors
Yves Lequain، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2008
Pages
15
From page
2979
To page
2993
Abstract
We show that: (1) If is a finitely generated divisibility group that is not lattice ordered and if is a divisibility group such that , then the product is not a divisibility group.
(2) If is a torsion free finitely generated divisibility group and if is a lattice ordered group with only finitely many ultra filters, then the product is a divisibility group if and only if .
(3) If and are both torsion free finitely generated divisibility groups, then the product is a divisibility group.
Keywords
Divisibility groups
Journal title
Journal of Algebra
Serial Year
2008
Journal title
Journal of Algebra
Record number
698554
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