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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.

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Journal ArticleDOI

Are all localizing subcategories of stable homotopy categories coreflective

TL;DR: In this article, it was shown that in a triangulated category with combinatorial models, every localizing subcategory is coreflective and every colocalizing subcategories is reflective if a certain large-cardinal axiom (Vopěnka's principle) is assumed true.
Book ChapterDOI

On the localization genus of a space

TL;DR: In this article, the Mislin genus is defined as the set of homotopy types [Y] of nilpotent CW-spaces Y which are locally equivalent to X at each prime.
Journal ArticleDOI

On the galois cohomological dimensions of stable fields with henselian valuations

TL;DR: In this article, an essentially complete description of the spectra of cohomological p-dimensions of the absolute Galois groups of basic types of Henselian valued stable fields with totally indivisible value groups when p ranges over the set of prime numbers is given.
Book ChapterDOI

Decompositions de groupes par produit direct et groupes de Coxeter

TL;DR: In this article, the authors provide examples of groups which are indecomposable by direct product, and more generally which are uniquely decomposable as direct products of indecompositionable groups.
Posted Content

Endomorphism rings of modules whose cardinality is cofinal to omega

TL;DR: In this article, the main result is that if A is aleph_0-cotorsion-free or A is countably free, respectively, then there exists an aleph-0-torsionfree or separable (reduced, torsion free) R-module G respectively of cardinality |G|=lambda with End_RG=A oplus Fin G.