Further Results on K0-Groups with Ordered Structure

DOI10.1142/S1005386707000375zbMath1125.16006OpenAlexW2069905184MaRDI QIDQ5297242

Hourong Qin, Xinmin Lü

Publication date: 18 July 2007

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

Full work available at URL: http://www.worldscinet.com/ac/14/1403/S1005386707000375.html

zbMATH Keywords

primitive idempotentsexchange rings\(\ell\)-groups\(K_0\)-groupsstable range \(1\)\(K_0\)-simplicitygeneralized Abelian rings

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) (K_0) of other rings (19A49) von Neumann regular rings and generalizations (associative algebraic aspects) (16E50)

Cites Work

• Separative cancellation for projective modules over exchange rings
• Finitely generated projective modules over exchange rings
• \(K\)-theoretically simple von Neumann regular rings
• Every Abelian \(\ell\)-group is ultrasimplicial
• Exchange rings and decompositions of modules
• On the atomic conditions of lattice-ordered groups
• Square-free rings
• Torsion in K₀ of unit-regular rings
• Boolean Algebras, Generalized Abelian Rings, and Grothendieck Groups

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