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On completely decomposable and separable modules over Prüfer domains

✍ Scribed by Fuchs, László; Macías-Díaz, Jorge E.

Book ID
125480558
Publisher
Rocky Mountain Mathematics Consortium
Year
2010
Tongue
English
Weight
292 KB
Volume
2
Category
Article
ISSN
1939-2346

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Let Z ⊆ R be a subgroup of the rationals and (S; ≤) a ÿnite poset. In this paper we introduce the category Rep(S; R) of homogeneous completely decomposable groups H of type R with distinguished homogeneous completely decomposable subgroups H i (i ∈ S) of the same type, respecting the order of S, i.e