Rank functions on rings

DOI10.1016/0021-8693(90)90275-SzbMath0715.16003OpenAlexW2066608312WikidataQ105693724 ScholiaQ105693724MaRDI QIDQ752142

Paul M. Cohn

Publication date: 1990

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(90)90275-s

zbMATH Keywords

statesgeneratorsrank functionsconvex functionalSylvester rank functionsstrong unitgenerating setsubstatesunbounded generating numberfinitely generated projective moduleconical monoidfinitely generated R-moduleHahn-Banach Theoremmaximal pseudo-rank functionsublinear functionalsublinear regularization

Mathematics Subject Classification ID

Free, projective, and flat modules and ideals in associative algebras (16D40) Grothendieck groups, (K)-theory, etc. (16E20) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Related Items (5)

A sandwich theorem for monotone additive functions ⋮ Categories of power stably free modules and their \(K_0\) groups ⋮ Convexity of Torsion Subgroups inK₀Groups and Dimension Group Properties ofK₀of Pullbacks ⋮ The State Space ofK₀of Exchange Rings ⋮ Rank functions and state spaces of \(K_0\)

Cites Work

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• Rank functions and \(K_0\) of regular rings
• Sylvester domains
• Simple regular rings and rank functions
• Über die Erweiterungen von additiven monotonen Funktionen auf regulär geordneten Halbgruppen
• On Making Rings Weakly Finite
• On the law of nullity
• A Weak Nullstellensatz for Valuations

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