Isomorphism of endomorphism algebras over complete discrete valuation rings

DOI10.1007/BF02570888zbMath0681.13002MaRDI QIDQ1823272

Warren May

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/183785

zbMATH Keywords

mixed modulesendomorphism algebramixed abelian groupcomplete discrete valuation

Mathematics Subject Classification ID

Morphisms of commutative rings (13B10) Structure, classification theorems for modules and ideals in commutative rings (13C05) Valuation rings (13F30)

Related Items (15)

Outer automorphisms of endomorphism rings of Warfield groups ⋮ The Baer–Kaplansky Theorem for all abelian groups and modules ⋮ An equivalence for categories of modules over a complete discrete valuation domain ⋮ Influence of the Baer-Kaplansky theorem on the development of the theory of groups, rings, and modules ⋮ 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 ⋮ A Baer-Kaplansky theorem for modules over principal ideal domains ⋮ Around the Baer-Kaplansky theorem ⋮ On May Modules of Finite Rank and the Jacobson Radicals of Their Endomorphism Rings ⋮ May modules of countable rank ⋮ Modules over discrete valuation domains. II ⋮ The Baer-Kaplansky theorem for a class of global mixed groups ⋮ A family of commutative endomorphism algebras ⋮ Mixed modules over incomplete discrete valuation rings

Cites Work

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• Endomorphisms of rank one mixed modules over discrete valuation rings
• The construction of mixed modules from torsion-free modules
• On endomorphism rings of primary Abelian groups
• Endomorphisms of abelian groups and the theorem of Baer and Kaplansky
• Automorphism rings of primary abelian operator groups
• Prescribing Endomorphism Algebras, a Unified Treatment
• ON ENDOMORPHISM RINGS OF PRIMARY ABELIAN GROUPS
• Isomorphisms of the Endomorphism Rings of Torsion-Free Modules

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