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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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Journal ArticleDOI
Classifying spaces for proper actions of locally-finite groups
TL;DR: For each finite ordinal n and each locally-finite group G of cardinality aleph n, this article constructed an (n+1)-dimensional model for the classifying space for proper G-actions.
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On socle-regularity and some notions of transitivity for Abelian $p$-groups
TL;DR: In this article, the interconnections between various notions of transitivity for Abelian p-groups and the recently introduced concepts of socle-regular and strongly socle regular groups are studied.
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Turing degrees of isomorphism types of algebraic objects
TL;DR: Sorbi et al. as discussed by the authors showed that there are elements with isomorphism types of arbitrary Turing degrees in countable fields, rings, and torsion-free Abelian groups of any finite rank.
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An embedding construction for ordered groups
TL;DR: In this article, a construction of subnormal verbal embedding of an arbitrary (soluble, fully ordered or torsion free) ordered countable group into a twogenerator ordered group with these properties is presented.
Book
Regularity and Substructures of Hom
Friedrich Kasch,Adolf Mader +1 more
TL;DR: In this paper, the authors define the notion of regularity for maps in a Hom group and show that a map f ∈ Hom R (A,M) is regular if and only if Ker(f)⊆⊕ ǫ (A) and Im (f) ⊆ (Im) √ Ǫ (M) are regular.