Results 201 to 210 of about 11,614 (238)
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Mathematics of the USSR-Sbornik, 1978
We solve Problem 44 in the book by L. Fuchs, Infinite Abelian Groups, Vol. I, which asks for a classification of the groups G having the following property: if G is contained in the direct sum of reduced groups, then nG for some n > 0 is contained in a finite direct sum of these groups.
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We solve Problem 44 in the book by L. Fuchs, Infinite Abelian Groups, Vol. I, which asks for a classification of the groups G having the following property: if G is contained in the direct sum of reduced groups, then nG for some n > 0 is contained in a finite direct sum of these groups.
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On the classification of abelian groups
Periodica Mathematica Hungarica, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Journal of Algebra and Its Applications, 2010
An R-module RM is called morphic if M/ im α ≅ ker α for every endomorphism α of M, that is, if the dual of the Noether isomorphism theorem holds. Mostly all morphic Z-modules are determined leaving open some classes of nonsplitting mixed groups, which actually cannot be completely characterized.
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An R-module RM is called morphic if M/ im α ≅ ker α for every endomorphism α of M, that is, if the dual of the Noether isomorphism theorem holds. Mostly all morphic Z-modules are determined leaving open some classes of nonsplitting mixed groups, which actually cannot be completely characterized.
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Journal of Mathematical Sciences, 2006
The paper deals with torsion free Abelian groups of finite rank and provides relations between pureness, servantness, and quasi-decompositions for such groups. In particular, endopure and servant submodules for Abelian groups of rank 3 and for strongly indecomposable groups are classified.
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The paper deals with torsion free Abelian groups of finite rank and provides relations between pureness, servantness, and quasi-decompositions for such groups. In particular, endopure and servant submodules for Abelian groups of rank 3 and for strongly indecomposable groups are classified.
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Israel Journal of Mathematics, 1979
We continue the investigation from [10], [11], [12] on uncountable abelian groups. This paper tends more to group theory and was motivated by Nunke’s statement (in [9]) that Whitehead problem, rephrased properly, is not solved yet.
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We continue the investigation from [10], [11], [12] on uncountable abelian groups. This paper tends more to group theory and was motivated by Nunke’s statement (in [9]) that Whitehead problem, rephrased properly, is not solved yet.
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Canadian Journal of Mathematics, 1957
Throughout this note all groups areabelian, written additively. We refer to Kurosh (8; 9) for notation, terminology and theorems used without reference. We recall the notion of aserving subgroup(or pure subgroup)of a group. This is a subgroupin which for every natural numbernevery equationnx = s, s ∊can be solved provided that it can be solved in. Ifis
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Throughout this note all groups areabelian, written additively. We refer to Kurosh (8; 9) for notation, terminology and theorems used without reference. We recall the notion of aserving subgroup(or pure subgroup)of a group. This is a subgroupin which for every natural numbernevery equationnx = s, s ∊can be solved provided that it can be solved in. Ifis
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Cancer statistics for adolescents and young adults, 2020
Ca-A Cancer Journal for Clinicians, 2020Kimberly D Miller +2 more
exaly
On Abelian-By-Polycyclic Groups
Journal of the London Mathematical Society, 1975openaire +2 more sources