Abelian groups
DOI10.1007/BF01091961zbMath0479.20024OpenAlexW4211101749MaRDI QIDQ5905032
Publication date: 1979
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01091961
endomorphismsdirect sumstensor productsautomorphismsdirect productsmixed groupstorsion free groupsN-high subgroupsprimary groups
Torsion-free groups, infinite rank (20K20) Extensions of abelian groups (20K35) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Homological and categorical methods for abelian groups (20K40) Torsion groups, primary groups and generalized primary groups (20K10) Direct sums, direct products, etc. for abelian groups (20K25) Subgroups of abelian groups (20K27) Abelian groups (20Kxx) Torsion-free groups, finite rank (20K15) Mixed groups (20K21) Research exposition (monographs, survey articles) pertaining to group theory (20-02)
Related Items (2)
Cites Work
- Über Torsions-und \(\kappa\)-Elemente von Ext(C,A)
- Abelian groups in which endomorphic images are fully invariant
- The uniqueness of elongations of Abelian groups
- Remark on the maximal torsion subgroup of an abelian group
- A class of Abelian groups closed under direct limits and subgroups formation
- Concerning the postulate-systems of subtractive Abelian groups
- Subtractive Abelian groups
- Maximal pure subgroups of torsion complete Abelian \(p\)-groups
- On fully invariant subgroups of primary Abelian groups
- On rings on groups
- Extension of isomorphisms in Abelian p-groups
- Projective classes of cotorsion groups
- Strongly semisimple Abelian groups
- Kartesische Produkte von Gruppen
- Purities with absolute closure
- Infinite Abelian groups, Whitehead problem and some constructions
- Untergruppenkriterien für Abelsche Gruppen
- An application of B-high subgroups of abelian p-groups
- Abelian groups with a vanishing homology group
- Nearly isomorphic torsion free abelian groups
- On N-high subgroups of an Abelian group
- The homological dimension of an Abelian group as a module over its ring of endomorphisms. III
- Endoprojective dimension of modules
- Finite direct sums of cyclic valuated \(p\)-groups
- Extension functions for rank 2, torsion free Abelian groups
- The endomorphism ring of an Abelian torsionfree homogeneous separable group
- Abelian groups, \(A\), such that \(\Hom(A,-)\) preserves direct sums of copies of \(A\)
- The structure of the Abelian groups \(F_n/(F_n,F')\)
- Infinite decomposition bases
- How automorphism groups reveal Ulm invariants
- Torsion free abelian groups quasi-projective over their endomorphism rings. II
- Endomorphisms of abelian groups and the theorem of Baer and Kaplansky
- Ext in pre-Abelian categories
- Singular cohomology in \(L\)
- Klassifizierung torsionsfreier Abelscher Gruppen des Ranges 2
- Tensor products of mixed Abelian groups
- A topological approach to a problem of Nunke
- Abelian groups whose endomorphism ring is linearly compact
- Abelian groups admitting fixed-point-free automorphisms of order \(q^n\)
- Torsion free Abelian groups quasiprojective over their endomorphism rings
- A compactness theorem for singular cardinals, free algebras, Whitehead problem and transversals
- Characterization of the primary abelian groups, bounded modulo the divisible subgroup, by the radical of their endomorphism rings
- Embedding of totally projective groups
- Simply presented valuated Abelian p-groups
- On p-indicators in Ext(Q/Z,T)
- The problem of classification of finite-rank abelian groups without torsion
- N-high subgroups of abelian p-groups
- The characteristic subgroups of the Baer-Specker group
- The automorphism group of an abelian p-group and its noncentral normal subgroups
- Torsion-free extensions of torsion-free abelian groups
- A note on the extensions of the infinite cyclic group and realizable groups
- Infinite Abelian groups are highly topologizable
- Torsion-free Abelian groups with isomorphic endomorphism rings
- Summands of finite rank torsion free abelian groups
- Criteria for the existence of irreducible systems of generators for abelian groups
- On the endomorphism ring of an abelian p-group and of a large subgroup
- Abelian groups which admit only nilpotent multiplications
- On mixed groups of torsion-free rank one with totally projective primary components
- The structure of Abelian p-groups given by certain presentations II
- The covering theorem for upper basic subgroups
- Automorphisms of Abelian torsion groups with finite p-ranks
- Some closure properties for torsion classes of abelian groups
- Two problems of Fuchs concerning tor and hom
- On \(p^{\alpha}\)-high injectives
- Classes of Abelian groups closed under taking subgroups and direct limits
- Über die abelschen Gruppen, auf denen sich nur endlich viele wesentlich verschiedene Ringe definieren lassen
- Functorial subgroups commuting with inverse limits
- On direct decompositions o f torsion-free abelian groups of finite rank
- Note on direct decompositions of torsion-free abelian groups
- The structure of ultraproducts of Abelian groups
- Extensions of torsion-free Abelian groups of finite rank
- On a submodule of Ext
- C\(_{\gamma}\)-groups and \(\gamma\)-basic subgroups
- A generalization of separable groups
- Primary groups whose subgroups of smaller cardinality are direct sums of cyclic groups
- The homological dimension of an Abelian group as a module over its ring of endomorphisms. II
- Note on extensions of Abelian groups by primary groups
- Abelian and metabelian groups with regular automorphisms and semiautomorphisms
- Homomorphisms of torsion complete Abelian \(p\)-groups
- The classification of certain classes of torsion free Abelian groups
- A duality for quotient divisible Abelia n groups of finite rank
- A note on separable homogeneous extensions of the Specker group
- Completely decomposable groups which admit only nilpotent multiplications
- Sums of length t in Abelian groups
- On the Existence of κ-Free Abelian Groups
- Partially well-ordered sets of infinite matrices and closed classes of abelian groups
- Splitting of mixed abelian groups.
- The nilstife of the direct sum of rank 1 torsion free groups
- Sur Les Groupes Quasi-Purs-Projectifs Torsions
- A PROBLEM ON ABELIAN GROUPS
- Pure N-high Subgroups, P-adic Topology and Direct Sums of Cyclic Groups
- Extensions of Torsion-Complete Groups
- Almost Completely Decomposable Torsion Free Abelian Groups
- Problem 26 of L. Fuchs
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- The p-Adic Hull of Abelian Groups
- Sub-prime radical classes determined by zerorings
- On a generalization of Mycielski's and Znám's conjectures about coset decomposition of Abelian groups
- Grothendieck and Whitehead groups of torsion free Abelian groups
- Structural Relations between General Linear Groups and Automorphism Groups of Abelian p -Groups
- χn-FREE ABELIAN GROUPS
- The Automorphism Group of an Abelian p-Group and Its Normal p-Subgroups
- Direct Products and Sums of Torsion-Free Abelian Groups
- New Criteria for Freeness in Abelian Groups
- Extensions of Abelian Groups of Finite Rank
- Abelian Groups in Which Every α-Pure Subgroup is β-Pure
- Boolean Rings of Projection Maps
- A Note on Extensions of Free Groups by Torsion Groups
- Essentially Indecomposable Abelian P -Groups
- Endomorphism Rings of Rank Two Torsion-Free Abelian Groups
- Abelian torsion groups with artinian primary components and their automorphisms
- Decompositions of Abelian p-Groups
- A note on mixed abelian groups
- Tensor Products and the Splitting of Abelian Groups
- Adjoint functions with respect to a constant vector ? and spinors
- Classification theorems for 𝑝-groups and modules over a discrete valuation ring
- Generally p α -Torsion Complete Abelian Groups
- Radicals of abelian groups and associative rings
- Pure-complete subgroups of direct sums of Prüfer groups
- A Note on Torsion-Free Abelian Groups of Finite Rank
- The Number of Isotype and l-Pure Subgroups of an Abelian p-Group
- Note on splitting length of abelian groups
- Abelian Groups Quasi-Injective Over their Endomorphism Rings
- On the nilstufe of the direct sum of two groups
- On the Normal Structure of Automorphism Groups of Abelian P -Groups
- Completions of topological Abelianp-groups
- Endomorphisms of countable direct sums of torsion complete groups
- The First Derived Equaliser of a Pair of Abelian Group Homomorphisms
- On the Automorphism Group of a Reduced Primary Abelian Group
- The Group of Extensions and Splitting Length
- Countable Torsion Products of Abelian p-Groups
- Near Central Automorphisms of Abelian Torsion Groups
- The endomorphism ring of the additive group of a ring
- Ulm's Theorem for Totally Projective Groups
- On a paper of Szele and Szendrei on groups with commutative endomorphism rings
- On the group of extensions
- The Additive Group of Commutative Rings Generated by Idempotents
- Determining groups from endomorphism rings for Abelian groups modulo bounded groups
- Abelian groups
- New Criteria for Freeness in Abelian Groups. II
- A Class of Pure Subgroups of Completely Decomposable Abelian Groups
- On the Splitting of Modules and Abelian Groups
- Automorphism Groups of Abelian p-Groups
- A homological characterization of large subgroups
- Groups of automorphisms of Abelian 1-groups
- Quasi-Direct Decompositions of Torsion-Free Abelian Groups of Infinite Rank.
- Completely decomposable abelian groups any regular subgroup of which is completely decomposable
- Completely decomposable abelian groups any pure subgroup of which is completely decomposable
- The construction of diagrams for abelian groups
- On Type-Sets of Torsion-Free Abelian Groups of Rank 2
- Balanced subgroups of abelian groups
- On pω+1 -Projective p -Groups
- Transformations on tensor products and the torsionless property in abelian groups
- The Freeness of a Group Based on a Distributive Lattice
- THE INDEPENDENCE OF KAPLANSKY'S NOTIONS OF TRANSITIVITY AND FULL TRANSITIVITY
- ON ENDOMORPHISM RINGS OF PRIMARY ABELIAN GROUPS, II
- Homological Dimension of Abelian Groups over their Endomorphism Rings
- Endomorphism Rings and Direct Sums of Torsion Free Abelian Groups
- Quasi-P-Pure-Injective Groups
- Detachablep-groups and quasi-injectivity
- Quasi-Pure Projective and Injective Torsion Groups
- Finite order extensions of a primary group by a torsion-free group
- Ext (.,Z)-reproduced abelian groups are finite
- RADICALS OF ENDOMORPHISM RINGS OF TORSION-FREE ABELIAN GROUPS
- Homological Algebra and Set Theory
- Exchange property and t-independence
- Ultrafilters and abelian groups
- Subgroup criteria for an abelian group.
- Ulm's Theorem for Partially Ordered Structures Related to Simply Presented Abelian p-Groups
- Strongly Homogeneous Torsion Free Abelian Groups of Finite Rank
- Classification Theory of Abelian Groups. I: Balanced Projectives
- On cogenerators in abelian groups
- On Automorphism Groups and Endomorphism Rings of Abelian p-Groups
- Existence Theorems for Warfield Groups
- Extensions of Totally Projective Groups
- Orthogonality relations on Abelian groups
- Abelian groups and $N$-semigroups, II
- Thick Groups and Essentially Finitely Indecomposable Groups
- Complete exact sequences
- On Torsion Abelian Groups Quasi-Projective Over Their Endomorphism Rings
- SOLUTION TO A PROBLEM OF L. FUCHS
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