Automorphism rings of primary abelian operator groups
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Publication:2653019
DOI10.2307/1968763zbMath0061.05405OpenAlexW2330898990WikidataQ105449492 ScholiaQ105449492MaRDI QIDQ2653019
Publication date: 1943
Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/1968763
Related Items (36)
Isomorphisms of the Endomorphism Rings of a Class of Torsion-Free Modules ⋮ The Skolem-Noether theorem for modules over principal rings ⋮ Category-Isomorphisms and Endomorphism Rings of Modules ⋮ On the definability of completely decomposable torsion-free abelian groups by endomorphism rings and some groups of homomorphisms ⋮ Most abelian \(p\)-groups are determined by the Jacobson radical of their endomorphism rings ⋮ On Projective Geometry over Full Matrix Rings ⋮ Primary abelian groups as modules over their endomorphism rings ⋮ Unnamed Item ⋮ On the question of definability of homogeneously decomposable torsion-free abelian groups by their homomorphism groups and endomorphism rings ⋮ Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules ⋮ Co-Hopfian and boundedly endo-rigid mixed abelian groups ⋮ A characterization of FGC rings. ⋮ Determining groups from endomorphism rings for Abelian groups modulo bounded groups ⋮ A criterion for the elementary equivalence of endomorphism rings and automorphism groups of Abelian \(p\)-groups. ⋮ Properties of Abelian Groups Determined by Their Endomorphism Ring ⋮ The Jacobson Radical’s Role in Isomorphism Theorems for p-Adic Modules Extends to Topological Isomorphism ⋮ Modules over discrete valuation domains. III ⋮ Modules over discrete valuation domains. I ⋮ Definability of completely decomposable torsion-free abelian groups by semigroups of endomorphisms and groups of homomorphisms ⋮ A criterion of elementary equivalence of automorphism groups of unreduced abelian \(p\)-groups. ⋮ An exactness property of the \(\Hom\) functor and some characterizations of modules ⋮ The theory of separable mixed abelian groups ⋮ Sur un problème d'algèbre commutative: Modules scindants et modules coscindants ⋮ Around the Baer-Kaplansky theorem ⋮ Modules over discrete valuation domains. II ⋮ The endomorphism ring of pointed separable torsion-free Abelian groups ⋮ Gruppen mit abgeschwächter Normalteilertransitivität ⋮ Charakterisierung der Endomorphismenringe beschränkter abelscher Gruppen ⋮ Anneau des endomorphismes d'un module de type fini sur un anneau local ⋮ Jacobson Radical Isomorphism Theorems for Mixed Modules Part One: Determining the Torsion ⋮ Definability of completely decomposable torsion-free abelian groups by endomorphism semigroups and homomorphism groups ⋮ Isomorphism of endomorphism algebras over complete discrete valuation rings ⋮ Generalizing the Baer-Kaplansky theorem ⋮ Torsion-free Abelian groups with isomorphic endomorphism rings ⋮ Spectre premier bilatère de l'anneau des endomorphismes d'un module de type fini ⋮ One-sided ideals in the endomorphism ring of an abelianp-group
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