On a problem of Kaplansky. II: Every finitely generated Abelian group is the restricted Grothendieck group of a local, Noetherian, Krull domain

DOI10.1016/0021-8693(82)90079-5zbMath0509.13012OpenAlexW1999834063MaRDI QIDQ1838525

Abraham Zaks

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0021-8693(82)90079-5

zbMATH Keywords

Abelian grouppolynomial ringsdivisor class groupcharacterization as Grothendieck grouplocal Noetherian Krull domain

Mathematics Subject Classification ID

Commutative Noetherian rings and modules (13E05) Local rings and semilocal rings (13H99) Grothendieck groups, (K)-theory and commutative rings (13D15) Rings of fractions and localization for commutative rings (13B30)

Related Items (1)

Abelian groups

Cites Work

• \(A\)-subalgebras of \(A[x\)]
• On a problem of Kaplansky
• Algebraic \(K\)-theory

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