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Abelian groups (Q5905032)

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scientific article; zbMATH DE number 3753099

Language	Label	Description	Also known as
English	Abelian groups	scientific article; zbMATH DE number 3753099

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scholarly article

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Abelian groups (English)

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zbMATH Open document ID

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10.1007/BF01091961

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Journal of Soviet Mathematics

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publication date

1979

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

primary groups

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torsion free groups

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mixed groups

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direct sums

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direct products

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N-high subgroups

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endomorphisms

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automorphisms

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tensor products

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MaRDI profile type

MaRDI publication profile

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Endoprojective dimension of modules

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Abelian and metabelian groups with regular automorphisms and semiautomorphisms

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A PROBLEM ON ABELIAN GROUPS

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On N-high subgroups of an Abelian group

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Extension of isomorphisms in Abelian p-groups

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RADICALS OF ENDOMORPHISM RINGS OF TORSION-FREE ABELIAN GROUPS

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Abelian groups admitting fixed-point-free automorphisms of order \(q^n\)

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Purities with absolute closure

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Criteria for the existence of irreducible systems of generators for abelian groups

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Adjoint functions with respect to a constant vector ? and spinors

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The problem of classification of finite-rank abelian groups without torsion

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The construction of diagrams for abelian groups

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A duality for quotient divisible Abelia n groups of finite rank

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A Class of Pure Subgroups of Completely Decomposable Abelian Groups

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Grothendieck and Whitehead groups of torsion free Abelian groups

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Strongly Homogeneous Torsion Free Abelian Groups of Finite Rank

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Endomorphism Rings and Direct Sums of Torsion Free Abelian Groups

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Abelian groups, \(A\), such that \(\Hom(A,-)\) preserves direct sums of copies of \(A\)

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Partially well-ordered sets of infinite matrices and closed classes of abelian groups

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Strongly semisimple Abelian groups

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Sur Les Groupes Quasi-Purs-Projectifs Torsions

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Pure N-high Subgroups, P-adic Topology and Direct Sums of Cyclic Groups

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An application of B-high subgroups of abelian p-groups

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N-high subgroups of abelian p-groups

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Quasi-P-Pure-Injective Groups

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Thick Groups and Essentially Finitely Indecomposable Groups

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Boolean Rings of Projection Maps

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Quasi-Pure Projective and Injective Torsion Groups

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Abelian groups with a vanishing homology group

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Ext (.,Z)-reproduced abelian groups are finite

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A note on mixed abelian groups

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Completely decomposable abelian groups any pure subgroup of which is completely decomposable

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Completely decomposable abelian groups any regular subgroup of which is completely decomposable

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Über die abelschen Gruppen, auf denen sich nur endlich viele wesentlich verschiedene Ringe definieren lassen

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Endomorphisms of countable direct sums of torsion complete groups

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Complete exact sequences

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A generalization of separable groups

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ON ENDOMORPHISM RINGS OF PRIMARY ABELIAN GROUPS, II

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THE INDEPENDENCE OF KAPLANSKY'S NOTIONS OF TRANSITIVITY AND FULL TRANSITIVITY

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The structure of Abelian p-groups given by certain presentations II

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Completions of topological Abelianp-groups

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Orthogonality relations on Abelian groups

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Sums of length t in Abelian groups

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The homological dimension of an Abelian group as a module over its ring of endomorphisms. II

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The homological dimension of an Abelian group as a module over its ring of endomorphisms. III

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Generally p α -Torsion Complete Abelian Groups

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The structure of ultraproducts of Abelian groups

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On the Existence of κ-Free Abelian Groups

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Homological Algebra and Set Theory

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On the Automorphism Group of a Reduced Primary Abelian Group

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On the nilstufe of the direct sum of two groups

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The nilstife of the direct sum of rank 1 torsion free groups

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SOLUTION TO A PROBLEM OF L. FUCHS

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Extension functions for rank 2, torsion free Abelian groups

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Note on direct decompositions of torsion-free abelian groups

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Note on extensions of Abelian groups by primary groups

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On Torsion Abelian Groups Quasi-Projective Over Their Endomorphism Rings

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On p<sup>ω+1</sup> -Projective <i>p</i> -Groups

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On direct decompositions o f torsion-free abelian groups of finite rank

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Quasi-Direct Decompositions of Torsion-Free Abelian Groups of Infinite Rank.

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Some closure properties for torsion classes of abelian groups

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Radicals of abelian groups and associative rings

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Sub-prime radical classes determined by zerorings

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Untergruppenkriterien für Abelsche Gruppen

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Subgroup criteria for an abelian group.

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The characteristic subgroups of the Baer-Specker group

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Kartesische Produkte von Gruppen

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A topological approach to a problem of Nunke

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Exchange property and t-independence

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χ<sub>n</sub>-FREE ABELIAN GROUPS

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Subtractive Abelian groups

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Ultrafilters and abelian groups

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Determining groups from endomorphism rings for Abelian groups modulo bounded groups

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Groups of automorphisms of Abelian <sub>1</sub>-groups

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Torsion-free Abelian groups with isomorphic endomorphism rings

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Automorphisms of Abelian torsion groups with finite p-ranks

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Abelian torsion groups with artinian primary components and their automorphisms

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On the Normal Structure of Automorphism Groups of Abelian <i>P</i> -Groups

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Near Central Automorphisms of Abelian Torsion Groups

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The Automorphism Group of an Abelian p-Group and Its Normal p-Subgroups

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The automorphism group of an abelian p-group and its noncentral normal subgroups

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Structural Relations between General Linear Groups and Automorphism Groups of Abelian <i>p</i> -Groups

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Automorphism Groups of Abelian p-Groups

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On Automorphism Groups and Endomorphism Rings of Abelian p-Groups

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How automorphism groups reveal Ulm invariants

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Characterization of the primary abelian groups, bounded modulo the divisible subgroup, by the radical of their endomorphism rings

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The covering theorem for upper basic subgroups

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Classes of Abelian groups closed under taking subgroups and direct limits

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A Note on Extensions of Free Groups by Torsion Groups

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Two problems of Fuchs concerning tor and hom

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Pure-complete subgroups of direct sums of Prüfer groups

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The Number of Isotype and l-Pure Subgroups of an Abelian p-Group

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Primary groups whose subgroups of smaller cardinality are direct sums of cyclic groups

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The Additive Group of Commutative Rings Generated by Idempotents

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On the Splitting of Modules and Abelian Groups

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New Criteria for Freeness in Abelian Groups

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New Criteria for Freeness in Abelian Groups. II

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Extensions of Torsion-Complete Groups

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The Freeness of a Group Based on a Distributive Lattice

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Singular cohomology in \(L\)

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Functorial subgroups commuting with inverse limits

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Problem 26 of L. Fuchs

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A class of Abelian groups closed under direct limits and subgroups formation

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Balanced subgroups of abelian groups

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Finite direct sums of cyclic valuated \(p\)-groups

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Simply presented valuated Abelian p-groups

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Existence Theorems for Warfield Groups

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On a submodule of Ext

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Note on splitting length of abelian groups

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On Type-Sets of Torsion-Free Abelian Groups of Rank 2

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Extensions of Abelian Groups of Finite Rank

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Infinite Abelian groups are highly topologizable

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On a generalization of Mycielski's and Znám's conjectures about coset decomposition of Abelian groups

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On p-indicators in Ext(Q/Z,T)

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Countable Torsion Products of Abelian p-Groups

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Summands of finite rank torsion free abelian groups

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Almost Completely Decomposable Torsion Free Abelian Groups

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Nearly isomorphic torsion free abelian groups

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Abelian groups in which endomorphic images are fully invariant

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Tensor Products and the Splitting of Abelian Groups

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On fully invariant subgroups of primary Abelian groups

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Extensions of Totally Projective Groups

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Remark on the maximal torsion subgroup of an abelian group

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Splitting of mixed abelian groups.

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The p-Adic Hull of Abelian Groups

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Finite order extensions of a primary group by a torsion-free group

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Endomorphisms of abelian groups and the theorem of Baer and Kaplansky

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Embedding of totally projective groups

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On \(p^{\alpha}\)-high injectives

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Tensor products of mixed Abelian groups

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A note on separable homogeneous extensions of the Specker group

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A note on the extensions of the infinite cyclic group and realizable groups

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The endomorphism ring of an Abelian torsionfree homogeneous separable group

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Essentially Indecomposable Abelian <i>P</i> -Groups

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On the endomorphism ring of an abelian p-group and of a large subgroup

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Abelian Groups in Which Every α-Pure Subgroup is β-Pure

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The classification of certain classes of torsion free Abelian groups

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Direct Products and Sums of Torsion-Free Abelian Groups

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Klassifizierung torsionsfreier Abelscher Gruppen des Ranges 2

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Abelian groups and $N$-semigroups, II

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Endomorphism Rings of Rank Two Torsion-Free Abelian Groups

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Abelian Groups Quasi-Injective Over their Endomorphism Rings

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The First Derived Equaliser of a Pair of Abelian Group Homomorphisms

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On rings on groups

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Detachablep-groups and quasi-injectivity

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Homological Dimension of Abelian Groups over their Endomorphism Rings

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Ext in pre-Abelian categories

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Ulm's Theorem for Partially Ordered Structures Related to Simply Presented Abelian p-Groups

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Abelian groups whose endomorphism ring is linearly compact

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On a paper of Szele and Szendrei on groups with commutative endomorphism rings

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The endomorphism ring of the additive group of a ring

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Torsion-free extensions of torsion-free abelian groups

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Infinite Abelian groups, Whitehead problem and some constructions

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A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals

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Concerning the postulate-systems of subtractive Abelian groups

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The structure of the Abelian groups \(F_n/(F_n,F')\)

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Infinite decomposition bases

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Decompositions of Abelian p-Groups

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Homomorphisms of torsion complete Abelian \(p\)-groups

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On the group of extensions

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The Group of Extensions and Splitting Length

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Torsion free abelian groups quasi-projective over their endomorphism rings. II

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Completely decomposable groups which admit only nilpotent multiplications

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Torsion free Abelian groups quasiprojective over their endomorphism rings

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Projective classes of cotorsion groups

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Ulm's Theorem for Totally Projective Groups

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On mixed groups of torsion-free rank one with totally projective primary components

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C\(_{\gamma}\)-groups and \(\gamma\)-basic subgroups

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Classification theorems for 𝑝-groups and modules over a discrete valuation ring

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Extensions of torsion-free Abelian groups of finite rank

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The uniqueness of elongations of Abelian groups

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Classification Theory of Abelian Groups. I: Balanced Projectives

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Transformations on tensor products and the torsionless property in abelian groups

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Maximal pure subgroups of torsion complete Abelian \(p\)-groups

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Abelian groups which admit only nilpotent multiplications

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A Note on Torsion-Free Abelian Groups of Finite Rank

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A homological characterization of large subgroups

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On cogenerators in abelian groups

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Über Torsions-und \(\kappa\)-Elemente von Ext(C,A)

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full work available at URL

https://doi.org/10.1007/bf01091961

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Sitelinks

Mathematics(1 entry)

mardi Publication:5905032

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