A General Theory of Splitting Sets

DOI10.1080/00927870500276718zbMath1117.13003OpenAlexW2165003140MaRDI QIDQ5719295

Gyu Whan Chang, Jeanam Park, David F. Anderson

Publication date: 18 January 2006

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

Full work available at URL: https://doi.org/10.1080/00927870500276718

zbMATH Keywords

class groupstar operationsplitting set\(t\)-class group

Mathematics Subject Classification ID

Integral domains (13G05) Ideals and multiplicative ideal theory in commutative rings (13A15) Class groups (13C20) Divisibility and factorizations in commutative rings (13A05)

Related Items (1)

A General Theory of Almost Splitting Sets

Cites Work

• Unnamed Item
• Prüfer v-multiplication domains and the ring \(R[X_{N_ v}\)]
• Splitting the t-class group
• Factorization in integral domains. II
• The class group of integral domains.
• Splitting sets in integral domains
• Examples of star operations on integral domains
• A general theory of class groups
• Star-operations induced by overrings

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