Modules over discrete valuation domains. II (Q2519166)

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English	Modules over discrete valuation domains. II	scientific article

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scholarly article

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Modules over discrete valuation domains. II (English)

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Journal of Mathematical Sciences (New York)

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publication date

26 January 2009

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Piotr A. Krylov

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Askar A. Tuganbaev

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/s10958-008-9039-x

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A Duality for Torsion-Free Modules of Finite Rank Over a Discrete Valuation Ring

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A duality for quotient divisible Abelia n groups of finite rank

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Exterior Powers and Torsion Free Modules Over Discrete Valuation Rings

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Finite rank torsion free Abelian groups and rings

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A Finite Global Azumaya Theorem in Additive Categories

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Abelian groups and representations of finite partially ordered sets

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Direct sums of local torsion-free abelian groups

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Indecomposable Modules Over Nagata Valuation Domains

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Representation Type of Posets and Finite Rank Butler Groups

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Co-purely indecomposable modules over discrete valuation rings

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Finite rank Butler groups and torsion-free modules over a discrete valuation ring

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Torsion-free modules of finite rank over a discrete valuation ring.

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Global Azumaya theorems in additive categories

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Subgroups of finite direct sums of valuated cyclic groups

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Pi-balanced torsion-free modules over a discrete valuation domain

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Power series rings over discrete valuation rings

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Stacked submodules of torsion modules over discrete valuation domains

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On the Krull-Schmidt theorem with application to sheaves

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Corrections and Supplementaries to My Paper concerning Krull-Remak-Schmidt’s Theorem

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A Unified Theory of Projective Spaces and Finite Abelian Groups

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Automorphism rings of primary abelian operator groups

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A classification of modules over complete discrete valuation rings

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Countably generated modules over complete discrete valuation rings

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Direct Sums of Countably Generated Modules Over Complete Discrete Valuation Rings

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Torsion-free rings

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Some invariants of p-groups

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ON A CLASS OF MIXED GROUPS WITH SEMI-LOCAL <i>WALK</i>-ENDOMORPHISM RING

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On a class of endotransitive groups

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On L. Fuchs' problems 17 and 43.

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Every Countable Reduced Torsion-Free Ring is an Endomorphism Ring

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Three examples on hopficity in torsion-free abelian groups

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ON ENDOMORPHISM RINGS OF PRIMARY ABELIAN GROUPS

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

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Fully rigid systems of modules

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Prescribing Endomorphism Algebras, a Unified Treatment

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The structure of torsion abelian groups given by presentations

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The structure of abelian p-groups given by certain presentations

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Refinements for infinite direct decompositions of algebraic systems

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On the Jacobson Radical of Some Endomorphism Rings

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Every Cotorsion-Free Ring is an Endomorphism Ring

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Every cotorsion-free algebra is an endomorphism algebra

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On endomorphism rings of primary Abelian groups

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Torsion-Free Abelian Groups with Prescribed Finitely Topologized Endomorphism Rings

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REPRESENTATION OF ALGEBRAS OVER A COMPLETE DISCRETE VALUATION RING

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On \(\lambda\)-purity of modules over discrete valuation rings

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Module theory. Endomorphism rings and direct sum decompositions in some classes of modules

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Discrete valuation domains and ranks of their maximal extensions

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Direct sums and refinement

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Mixed modules over incomplete discrete valuation rings

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Outer automorphisms of endomorphism rings of Warfield groups

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Endomorphism algebras of modules with distinguished torsion-free elements

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Transitivity and full transitivity for nontorsion modules

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The fully invariant subgroups of local Warfield groups

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Transitive and fully transitive groups

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Duality in some classes of torsion-free Abelian groups of finite rank

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Quotient divisible abelian groups

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Prescribing endomorphism algebras. The cotorsion-free case

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On Endomorphism Algebras of Mixed Modules

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On the structure of abelianp-groups

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ESSENTIALLY INDECOMPOSABLE MODULES WHICH ARE ALMOST FREE

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Mixed modules in \(L^*\)

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On almost-free modules over complete discrete valuation rings

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On separable torsion-free modules of countable density character

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The construction of mixed modules from torsion-free modules

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Independence in Completions and Endomorphism Algebras

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Every endomorphism of a local Warfield module of finite torsion-free rank is the sum of two automorphisms.

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Splitting off free summands of torsion-free modules over complete DVRs

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The Structure of Ext for Torsion-Free Modules of Finite Rank over Dedekind Domains

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Endomorphism Rings of Torsion-Free Modules over a Complete Discrete Valuation Ring

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Essentially-Rigid Families of Abelian <i>p</i> -Groups

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Essentially indecomposable modules over a complete discrete valuation ring

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An Essentially Semi-Rigid Class of Modules

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On endomorphism rings of non-separable Abelian \(p\)-groups

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The Krull-Schmidt problem for modules over valuation domains

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On the analogue of Corner's finite rank theorem for modules over valuation domains

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Transitive and fully transitive primary abelian groups

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Fully invariant subgroups, full transitivity, and homomorphism groups of Abelian groups.

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Infinite Abelian groups and homological methods

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Determining Abelian \(p\)-groups by the Jacobson radical of their endomorphism rings

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Most abelian \(p\)-groups are determined by the Jacobson radical of their endomorphism rings

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Transitivity and full transitivity for \(p\)-local modules

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Shorter Notes: Sums of Countable Primary Groups

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On Transitive and Fully Transitive Primary Groups

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Endomorphism Rings Generated by Units

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On the structure of \(p\)-local abelian groups

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Axiom 3 Modules

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Torsion Free Groups

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The transitivity of local Warfield groups

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ISOTYPE SUBGROUPS OF LOCAL WARFIELD GROUPS

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Subgroup transitivity in abelian groups

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Balanced Subgroups of Abelian Groups

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Global Warfield Groups

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Existence Theorems for Warfield Groups

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S-Groups Revisited

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Characterizing a class of simply presented modules by relation arrays

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Characterizing a class of Warfield modules by relation arrays

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Characterizing a class of Warfield modules by Ulm submodules and Ulm factors

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Projective modules

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Modules Over Dedekind Rings and Valuation Rings

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An equivalence for categories of modules over a complete discrete valuation domain

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Direct sums of countable groups

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Strongly homogeneous torsion-free Abelian groups

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Fully transitive torsion-free Abelian groups

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The center of the endomorphism ring of a split mixed Abelian group

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Endomorphism rings of Abelian groups

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Endomorphism rings of Abelian groups.

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Abelian groups and regular modules

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Splitting fields for torsion-free modules over discrete valuation rings. I

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Splitting fields for torsion-free modules over discrete valuation rings. II

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Splitting fields for torsion-free modules over discrete valuation rings. III

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Deductive systems and categories

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A New Characterization for p-Local Balanced Projective Groups

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Isotype Submodules of p-Local Balanced Projective Groups

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Fully invariant submodules of p-local balanced projective groups

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Balanced projectives and axiom 3

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Abelsche \(p\)-Gruppen und ihre Automorphismengruppen

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Torsion-Free and Divisible Modules Over Non-Integral-Domains

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Characterization of the endomorphism rings of divisible torsion modules and reduced complete torsion-free modules over complete discrete valuation rings

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Endomorphism Rings of Reduced Torsion-Free Modules Over Complete Discrete Valuation Rings

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Endomorphism rings of reduced complete torsion-free modules over complete discrete valuation rings

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The Jacobson radical of some endomorphism rings.

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Endomorphism rings of free modules over principal ideal domains

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Characterizations of Warfield groups

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Endomorphism rings of modules and lattices of submodules

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Cotorsion modules

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The Decomposability of Torsion Free Modules of Finite Rank

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Isomorphism of endomorphism algebras over complete discrete valuation rings

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The theorem of Baer and Kaplansky for mixed modules

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The use of the finite topology on endomorphism rings

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Torsion-Free Modules with Nearly Unique Endomorphism Algebras

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Endomorphisms of rank one mixed modules over discrete valuation rings

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Modules over domains large in a complete discrete valuation ring

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Large subgroups and small homomorphisms

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Modules Over an Incomplete Discrete Valuation Ring

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A nontransitive, fully transitive primary group

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Unique addition modules

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Preface to the English translation

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Full transitivity of Abelian groups.

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One-sided ideals in the endomorphism ring of an abelianp-group

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A Characterization of Warfield Groups

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A splitting criterion for a class of mixed modules

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Classification of mixed modules

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Modules of extensions over Dedekind rings

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Homology and direct sums of countable abelian groups

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On the completion of a valuation ring

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The constructive theory of KT-modules

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Nice subgroups of mixed local groups

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Extending Ulm's Theorem Without Group Theory

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Filtered modules over discrete valuation domains

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Isomorphic Groups of Linear Transformations

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A Note on Completions of Modules

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Mixed modules over valuation rings

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A completion functor on modules and algebras

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Modules Over a Complete Discrete Valuation Ring

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Rank-two torsion-free modules over valuation domains

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Notes on mixed groups. II

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An Invariant for Modules over a Discrete Valuation Ring

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Relative S-Invariants

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Almost-affable Abelian groups

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Mixed Modules Over an Incomplete Discrete Valuation Ring

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A Note on the Splitting Problem for Modules Over an Incomplete Discrete Valuation Ring

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Decomposition Problems for Modules Over Valuation Domains

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Anneaux De Valuation Discrete Complets non Commutatifs

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Dualities for torsion-free abelian groups of finite rank

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Unique decomposition and isomorphic refinement theorems in additive categories

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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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Homomorphisms and duality for torsion-free groups

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A Krull-Schmidt Theorem for Infinite Sums of Modules

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Decompositions of injective modules

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An isomorphic refinement theorem for Abelian groups

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

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A Classification Theorem for Abelian p-Groups

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Classification Theory of Abelian Groups. I: Balanced Projectives

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Cancellation of modules and groups and stable range of endomorphism rings

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A Projective Characterization for SKT-modules

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A Classification Theorem for SKT-Modules

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An Ideal-Theoretic Characterization of the Ring of All Linear Transformations

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Isomorphisms of the Endomorphism Rings of Torsion-Free Modules

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Isomorphisms of the endomorphism ring of a free module over a principal left ideal domain

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Isomorphisms of the Endomorphism Rings of a Class of Torsion-Free Modules

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Anti-isomorphisms of endomorphism rings of locally free modules

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Kurosch invariants for torsion-free modules over Nagata valuation domains

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Countable torsion groups

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S10958-008-9039-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:2519166

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