The use of the finite topology on endomorphism rings

DOI10.1016/S0022-4049(00)00159-6zbMath0992.20040MaRDI QIDQ5946469

Warren May

Publication date: 29 May 2002

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

zbMATH Keywords

endomorphism algebrasBaer-Kaplansky theoremscotorsion modulesfinite topologyinduced isomorphismsmixed modulesmodules over complete discrete valuation domainstopological isomorphisms

Mathematics Subject Classification ID

Endomorphism rings; matrix rings (16S50) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Other special types of modules and ideals in commutative rings (13C13) Mixed groups (20K21)

Related Items (5)

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 ⋮ Around the Baer-Kaplansky theorem ⋮ Modules over discrete valuation domains. II

Cites Work

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• On endomorphism rings of primary Abelian groups
• A theorem on the endomorphism ring of reduced torsion-free Abelian groups and some applications
• Torsion-Free Abelian Groups with Prescribed Finitely Topologized Endomorphism Rings
• ON TOPOLOGICAL RINGS WHICH ARE ENDOMORPHISM RINGS OF REDUCED TORSION-FREE ABELIAN GROUPS
• Endomorphism Rings of Reduced Torsion-Free Modules Over Complete Discrete Valuation Rings
• Prescribing Endomorphism Algebras, a Unified Treatment
• Isomorphisms of the Endomorphism Rings of Torsion-Free Modules

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