Boolean Algebras, Generalized Abelian Rings, and Grothendieck Groups

DOI10.1080/00927870500387903zbMath1097.19001OpenAlexW2145366678MaRDI QIDQ5470025

Xinmin Lü, Hourong Qin

Publication date: 29 May 2006

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

Full work available at URL: https://doi.org/10.1080/00927870500387903

zbMATH Keywords

Boolean algebraGrothendieck groupexchange ringArchimedean propertygeneralized abelian ring

Mathematics Subject Classification ID

Grothendieck groups, (K)-theory, etc. (16E20) Ordered groups (06F15) (K_0) of other rings (19A49) Ring-theoretic properties of Boolean algebras (06E20)

Related Items (1)

Further Results on K₀-Groups with Ordered Structure

Cites Work

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• Aleph-nought-continuous regular rings
• Farey stellar subdivisions, ultrasimplicial groups, and \(K_ 0\) of AF \(C^*\)-algebras
• Rank functions and \(K_0\) of regular rings
• Separative cancellation for projective modules over exchange rings
• Finitely generated projective modules over exchange rings
• Stable range one for exchange rings
• Every Abelian \(\ell\)-group is ultrasimplicial
• Exchange rings and decompositions of modules
• On the atomic conditions of lattice-ordered groups
• 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
• Metric completions of ordered groups and 𝐾₀ of exchange rings
• Torsion in K₀ of unit-regular rings

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