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Infinite Abelian groups
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The article was published on 1970-01-01 and is currently open access. It has received 2613 citations till now. The article focuses on the topics: Elementary abelian group & Rank of an abelian group.read more
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Proceedings ArticleDOI
Advice Automatic Structures and Uniformly Automatic Classes
TL;DR: It is proved that the class of all torsion-free Abelian groups of rank one is uniformly omega-automatic and that there is a uniform omega-tree-automatic presentation of the classof all Abelian Groups up to elementary equivalence and of theclass of all countable divisible Abelian Group groups.
Journal ArticleDOI
Applications of linear functionals to Kronecker modules. II
TL;DR: In this article, a class of modules E r is built from height functions h, sequences of positive integers (m2,…,mr-1), and sequences of linear functionals L = (l2,..,lr) on K(X).
Journal ArticleDOI
Cotorsion-free groups from a topological viewpoint
Katsuya Eda,Hanspeter Fischer +1 more
TL;DR: In this paper, a characterization of cotorsion-free abelian groups in terms of homomorphisms from fundamental groups of Peano continua is presented, which aligns naturally with the generalization of slenderness to non-abelian groups.