کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4587758 1334157 2008 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The product of divisibility groups (G1,O1)×(G2,O2) with G1 finitely generated
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
The product of divisibility groups (G1,O1)×(G2,O2) with G1 finitely generated
چکیده انگلیسی

We show that: (1) If (G1,O1) is a finitely generated divisibility group that is not lattice ordered and if (G2,O2) is a divisibility group such that Card(G2)>Card(R), then the product (G1,O1)×(G2,O2) is not a divisibility group.(2) If (G1,O1) is a torsion free finitely generated divisibility group and if (G2,O2) is a lattice ordered group with only finitely many ultra filters, then the product (G1,O1)×(G2,O2) is a divisibility group if and only if Card(G2)⩽Card(R).(3) If (G1,O1) and (G2,O2) are both torsion free finitely generated divisibility groups, then the product (G1,O1)×(G2,O2) is a divisibility group.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Algebra - Volume 319, Issue 7, 1 April 2008, Pages 2979-2993