Metrically Complete Regular Rings

DOI10.2307/1998960zbMath0494.16007OpenAlexW4253111688MaRDI QIDQ3957091

Kenneth R. Goodearl

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/1998960

zbMATH Keywords

finitely generated projective modulessubdirect productspseudo-rank functionsself-injective regular ringarchimedean norm-complete interpolation groupcomplete matrix ringN*-complete regular ringN*-metric of a regular ringsimple homomorphic images

Mathematics Subject Classification ID

Injective modules, self-injective associative rings (16D50) Free, projective, and flat modules and ideals in associative algebras (16D40) Grothendieck groups, (K)-theory, etc. (16E20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (5)

Torsion in K₀ of unit-regular rings ⋮ Group cocycles and the ring of affiliated operators ⋮ The N*-metric completion of regular rings ⋮ Associative rings ⋮ On the \(N^ *\)-metric completion of regular rings

Cites Work

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• Simple regular rings with a unique rank function
• Affine representations of Grothendieck groups and applications to Rickart 𝐶*-algebras and ℵ₀-continuous regular rings
• Directed Abelian Groups, Countably Continuous Rings, and Rickart C^* -Algebras
• Representing Rank Complete Continuous Rings
• Measures on F-Spaces

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