Splitting sets in integral domains

DOI10.1090/S0002-9939-00-05863-9zbMath0962.13001OpenAlexW1514306546MaRDI QIDQ2718991

Muhammad Zafrullah, Daniel D. Anderson

Publication date: 14 May 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05863-9

zbMATH Keywords

integral domainssplitting set

Mathematics Subject Classification ID

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

Related Items (8)

Nagata-like theorems for almost Prüfer \(v\)-multiplication domains ⋮ \(t\)-splitting sets in integral domains. ⋮ On S-GCD domains ⋮ A General Theory of Splitting Sets ⋮ Homogeneous splitting sets of a graded integral domain ⋮ Almost splitting sets in integral domains ⋮ LCM-splitting sets in some ring extensions ⋮ Almost Splitting Sets and AGCD Domains

Cites Work

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• On Nagata's theorem for the class group
• A remark on the unique factorization theorem
• The \(D+XD_ s[X\) construction from GCD-domains]
• On Mori domains and commutative rings with \(CC^{\perp}\). I
• Splitting the t-class group
• Factorization in integral domains. II
• Divisibility properties in semigroup rings
• Weakly Factorial Domains and Groups of Divisibility
• On a property of pre-schreier domains
• Splitting multiplicative sets and elasticity

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