Cartan maps, clean rings, and unique factorization

DOI10.1016/0021-8693(81)90246-5zbMath0459.13011OpenAlexW1975091179MaRDI QIDQ1151937

Clayton C. Sherman

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90246-5

zbMATH Keywords

clean ringsNoetherian ringunique factorization domainnormal local domainCartan mapshigher rank class groupsKn

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Ideals and multiplicative ideal theory in commutative rings (13A15) Commutative rings defined by factorization properties (e.g., atomic, factorial, half-factorial) (13F15) Regular local rings (13H05) Grothendieck groups, (K)-theory and commutative rings (13D15)

Related Items (2)

\(K\)-theory and the singularity category of quotient singularities ⋮ On Hochschild Extensions of Reduced and Clean Rings

Cites Work

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• The K-theory of hereditary categories
• Generalizations of the notion of class group
• K-cohomology of regular schemes
• Higher algebraic K-theory: I
• Algebraic \(K\)-theory

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