Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Every Cotorsion-Free Ring is an Endomorphism Ring - MaRDI portal

Every Cotorsion-Free Ring is an Endomorphism Ring

From MaRDI portal
Publication:4742957

DOI10.1112/plms/s3-45.2.319zbMath0506.16022OpenAlexW2116725985MaRDI QIDQ4742957

Rüdiger Göbel, Manfred Dugas

Publication date: 1982

Published in: Proceedings of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/plms/s3-45.2.319




Related Items (45)

Pure subgroups of \(A\)-projective groupsTorsion-free Abelian groups with finite groups of automorphismsTorsion-Free Abelian Groups with Prescribed Finitely Topologized Endomorphism RingsVector spaces with five distinguished subspacesCountable Butler groups and vector spaces with four distinguished subspacesThe Kaplansky test problems -- An approach via radicalsArbitrary torsion classes and almost free abelian groupsPrescribing endomorphism algebras. The cotorsion-free caseA characterization of modules with the summand intersection propertyStrict radicals and endomorphism rings.Absolute \(E\)-modulesThe affinity of set theory and abelian group theory.Remarks about the history of Abelian groups in England and Germany.Endomorphism rings of faithfully flat Abelian groupsOn endomorphism rings of primary Abelian groupsSuperdecomposable modules over Dedekind domainsEvery cotorsion-free algebra is an endomorphism algebraOn the nontrivial solvability of systems of homogeneous linear equations over $\mathbb Z$ in ZFCPrescribing endomorphism algebras of \(\aleph_n\)-free modules.Separable Abelian \(p\)-groups having certain prescribed chainsMixed Abelian Groups with Artinian Quasi-Endomorphism RingLarge \(E\)-modules existProperties of Abelian Groups Determined by Their Endomorphism RingKaplansky test problem for \(R\)-modulesModules over discrete valuation domains. IIIModules over discrete valuation domains. IOn almost-free modules over complete discrete valuation ringsAbelian groupsEndomorphism rings of Abelian groups as isomorphic restrictions of full endomorphism rings. IIEndomorphism rings and a generalization of torsion-freeness and purityAutomorphisms of Torsion-Free Nilpotent Groups of Class TwoModules with the quasi-summand intersection propertyEndomorphism rings of Abelian groupsA-Projective Resolutions and an Azumaya Theorem for a Class of Mixed Abelian GroupsModules over discrete valuation domains. IIUnnamed ItemAll Infinite Groups are Galois Groups Over any FieldSemi-rigid classes of cotorsion-free Abelian groupsFaithful Abelian Groups of Infinite RankMittag-Leffler modules and semi-hereditary ringsSmall almost free modules with prescribed topological endomorphism rings.k-free separable groups with prescribed endomorphism ringThe construction of $A$-solvable Abelian groupsAbelian groups flat as modules over their endomorphism ringVerbal products of groups




This page was built for publication: Every Cotorsion-Free Ring is an Endomorphism Ring